Theme

The main objective of the training workshop is to provide a comprehensive overview of special functions and their applications in other branches of Science with emphasis on computing special functions with MATLAB. The workshop will provide an excellent opportunity for participants to meet and exchange ideas of common interests and to discuss new challenges faced by our academic community working in this area from different institutions and universities around the world. The training will motivate and educate the participants to undertake research in this field. The expected outcome from this event is for the participants to be able to confidently carry out research in this field and also apply it to real-world problems. The procedure we intend to use in achieving this is by having resource persons who are knowledgeable in this field to deliver their talk and guide the participants on how to apply the special functions to real-life problems. Our desire is to leave an impact on the students and researchers to help them with research in the field of computing special functions and their applications.  A feedback form will be circulated to the participant and their suggestion will add to effective decision-making about future conferences and also to monitor the participation of delegates. Since everyone is from different geographical locations and restrictions on movement are a barrier to training like this, the training will be done virtually to enable participants from different parts of the world.

Special Functions

Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. Beyond the well-known elementary functions, special functions gather a great variety of mathematical functions of great importance due to their applications in the fields of physics, mathematics and engineering, and their notation has been consolidated over time. The recent developments in the field of special functions, including classical special functions (gamma, beta, polygamma; higher logarithms; error or incomplete gamma and beta functions; and q-gamma and q-beta functions) or other typical special functions (elliptic integrals; cylinder, hypergeometric and generalized hypergeometric functions; and basic hypergeometric functions) are widely used in Physical Sciences and Engineering. In addition, introducing new parameters such as Mittag–Leffler function; Riemann and Hurwitz zeta functions; and Apell, Horn, and Lauricella functions can be introduced and in their applications in the form of solutions of FDE, PDE and ODE may lead to generalized new and extended the results. The workshop will focus on theoretical and computational aspects of special functions & their applications and use in various areas of mathematics.

About the workshop

The training workshop will be held through Cisco-Webex and Live Streaming. There will be two sessions per day. The first session deals with lectures related to the theme of the training and in the second hands-on practical for computing special functions. All the content presented in the training workshop will be shared with all the registered participants. Cloud recording links will also be available, links and passwords to download will be provided after the event. There is no registration fee for this event and a certificate of participation will be awarded after attending the training workshop successfully. Note that attendance and feedback for each day are mandatory for all the participants.

Contents

Gamma Functions: Gamma function, incomplete gamma function, Inverse incomplete gamma function, Logarithm of gamma function, Digamma and polygamma functions

Beta Functions: Beta function, incomplete beta function, Beta inverse cumulative distribution function, Logarithm of beta function

Bessel Functions: Airy Functions, Bessel function of third kind (Hankel function), Modified Bessel function of the first kind, Modified Bessel function of the second kind, Bessel function of the second kind

Error Functions: Error function, Complementary error function, Inverse complementary error function, Scaled complementary error function, Inverse error function

Other Special Functions: Jacobi elliptic functions, Complete elliptic integrals of first and second kind, Exponential integral function, Associated Legendre functions

Extended and Generalized Special Function: Mittag-Leffler Functions, Wright Function, etc and their applications

Note: It is a kind request to avoid multiple registrations 

Tentative Schedule

Note: All the sessions are scheduled according to Indian Standard Time (IST). All the international participants are requested to follow IST. To see (IST) Local time click here

Inauguration Ceremony    Date: 5 April 2022 Timing: 11:00:00 to 11:25:00 (IST)

YouTube Streaming: Click here

Session-1: Resource Person Prof. Dumitru Baleanu, Date: 5 April 2022, Timing: 11:30:00 to 12:15:00 (IST)

Title: Mittag-Lefller function and its applications for real-world problems

Session Chaired by Prof. Zakia Hammouch

YouTube Streaming: Click here

Session-2: Resource Person Prof. Ajay Kumar Shukla, Date: 5 April 2022, Timing: 12:15:00 to 13:00:00 (IST)

Title: Some facts on pRq function

Session Chaired by Prof. Satya Bir Singh

YouTube Streaming: Click here

Session-3: Resource Person Dr. Prashantkumar Patel, Date: 5 April 2022, Timing: 13:45:00 to 15:45:00 (IST)

Title: Study of Some Special Functions using MATLAB

Session Chaired by Dr. Randhir Singh Baghel

YouTube Streaming: Click here

Session-4: Resource Person Dr. Jyotindra C Prajapati, Date: 6 April 2022, Timing: 11:30:00 to 12:15:00 (IST)

Title: Solution of Laplace Transforms in terms of Error functions

Session Chaired by Dr. Gurmej Singh Sandhu

YouTube Streaming: Click here

Session-5: Resource Person Dr. Mehar Chand, Date: 6 April 2022, Timing: 12:15:00 to 13:00:00 (IST)

Title: Numerical and Graphical interpretation of (p,q)-Mittag-Leffler Functions using MATLAB

Session Chaired by Dr. Sarita Rani

YouTube Streaming: Click here

Session-6: Resource Person Dr. Ranjan Kumar Jana, Date: 6 April 2022, Timing: 13:45:00 to 15:45:00 (IST)

Tentative Title: Computing Bessel and Error Functions with MATLAB: Basic, Modified and Extended

Session Chaired by Dr. Shrikant

YouTube Streaming: Click here

Session-7: Resource Person Dr. Sunil Dutt Purohit, Date: 7 April 2022, Timing: 11:30:00 to 12:15:00 (IST)

Title: On family of incomplete I-functions and their applications

Session Chaired by Dr. Narinder Singh

YouTube Streaming: Click here

Session-8: Resource Person Dr. Shilpi Jain, Date: 7 April 2022, Timing: 12:15:00 to 13:00:00 (IST)

Title: Study of Fractional hypergeometric functions and their Applications

Session Chaired by Dr. N. S. Noorie

YouTube Streaming: Click here

Session-9: Resource Person Dr. Mohammad Sajid, Date: 7 April 2022, Timing: 13:30:00 to 15:00:00 (IST)

Title: Fractals and Chaos in Some Kinds of Special Functions with Demonstration by MATLAB

Session Chaired by Dr. Amit Parmar

YouTube Streaming: Click here

Valedictory Ceremony: Date: 7 April 2022, Timing: 15:10:00 to 15:40:00 (IST)

YouTube Streaming: Click here

Presented Contents

1. PPT, PDF files, and script files will be uploaded here
2. Live streaming: Click here
3. Cloud Recordings links will be provided after the workshop

Who can participate?

The targeted audience includes research scholars, National and International faculty members from Universities/ Institutes, Engineers, people from academia, and  Post Graduate Students

Convenor(s)

Prof. Ajay Kumar Shukla: Department of Mathematics and Humanities, SVNIT, Surat, Gujarat, INDIA

Prof. Satya Bir Singh: Department of Mathematics, Punjabi University, Patiala, INDIA

Prof. Mohammed Amine: Director, Ecole Normale Supérieure, Moulay Ismail University, Marjane 2, Meknes, MOROCCO

Dr. Abdulvahid H. Hasmani: Professor & Head, Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, Gujarat, INDIA

Prof. Sudhi Rajiv: Dean, International Relations & Professor of English and Soft Skills, Poornima University, Jaipur, INDIA

Dr. Manish Bansal: Vice-Principal, Baba Farid College, Bathinda, INDIA

Dr. Gurmej Singh Sandhu: General Secretary, MathTech Thinking Foundation, INDIA

Resource Person(s)

Prof. Dumitru Baleanu: Institute of Space Sciences, Bucharest, ROMANIA

Prof. Ajay Kumar Shukla: Department of Mathematics and Humanities, SVNIT, Surat, Gujarat, INDIA

Dr. Sunil Dutt Purohit: Department of HEAS (Mathematics), Rajasthan Technical University, Kota, INDIA

Dr. Shilpi Jain: Associate Professor, Department of Mathematics, Poornima College of Engineering, Jaipur, INDIA

Dr. Mohammad Sajid: Department of Mechanical Engineering, College of Engineering, Qassim University, SAUDI ARABIA

Dr. Ranjan Kumar Jana: Department of Mathematics and Humanities, SVNIT, Surat, Gujarat, INDIA

Dr. Prashantkumar Patel: Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, Gujrat, INDIA

Organizing Secretaries

Dr. Jyotindra C Prajapati: Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, Gujarat, INDIA

Dr. Ranjan Kumar Jana: Department of Mathematics and Humanities, SVNIT, Surat, Gujarat, INDIA

General Chair

Dr. Mehar Chand: Department of Mathematics, Baba Farid College, Bathinda, India & President, MathTech Thinking Foundation, INDIA

Organizing Committee

Prof. Zakia Hammouch: Head, Department of Sciences, ENS, Moulay Ismail University, Marjane 2, Meknes, MOROCCO

Prof. Satya Bir Singh: Department of mathematics, Punjabi University, Patiala, INDIA

Dr. Randhir Singh Baghel: Associate Professor of Mathematics, School of Science & Humanities, Poornima University, Jaipur, INDIA

Dr. Gurmej Singh Sandhu: Department of Mathematics, Mata Sahib Kaur Girls College, Talwandi Sabo, Bathinda, INDIA

Mr. Navneet Garg: Department of Mathematics, Baba Farid College, Bathinda, INDIA

Dr. Sarita Rani: Department of Mathematics, Baba Farid College, Bathinda, INDIA

Dr. N. S. Noorie: Professor, Department of Mathematics, Punjabi University, Patiala, INDIA

Dr. Shrikant: Assistant Professor of Physics, School of Science & Humanities, Poornima University, Jaipur, INDIA

Dr. Narinder Singh: Ph.D.(Department of mathematics), Punjabi University, Patiala, INDIA

Scientific Committee

Dr. Zarife Zararsiz: Department of Mathematics, Nevşehir Hacı Bektaş Veli, TURKEY

Dr. Ebenezer Bonyah: Department of Mathematics, Akenten Appiah Menka University of Skills Training and Entrepreneurial and Entrepreneurial, AAMUSTED Ghana

Dr. Hanaa Hachimi: BOSS team, GS laboratory, ENSA of Kenitra Ibn Tofail University, University campus PO Box 242, Kenira14000, Morocco

Dr. Bharti V. Nathwani: Department of Mathematics, Amity School of Applied Sciences, Amity University, Mumbai, INDIA

Dr. O. Ravi: Professor, PMT College Usilamputti, Madurai (TN), INDIA

Dr. S. K. Jain: Professor, Department of Civil Engineering, MITS Gwalior, INDIA

Dr. Amit Parmar: Assistant Professor of Mathematics, School of Science & Humanities, Poornima University, Jaipur, INDIA

Dr. K. P. Ghadle: Prof and Head, Department of Mathematics, BAMU, Aurangabad, INDIA

Dr. Harbhajan Singh: Department of Mathematics, Baba Farid College, Bathinda, INDIA

Dr. Özen ÖZER: Department of Mathematics, Kırklareli Üniversitesi, TURKEY

Dr. Payal Singla: Department of Mathematics, Guru Nanak College Killianwali, District Sri Muktsar Sahib, INDIA.

Student Volunteer(s)

Mrs. Meetu Jain (Research Scholar), Department of Mathematics, Punjabi University, Patiala, Punjab, INDIA

Mr. Pushwinder Kumar (Research Scholar), Department of Mathematics, Punjabi University, Patiala, Punjab, INDIA

Jiya Kukkar: MTTF Intern, Department of Mathematics, Baba Farid College, Bathinda, INDIA

Alka Rani: MTTF Intern, Department of Computer Science, Baba Farid College, Bathinda, INDIA

Jatin  Manchanda: MTTF Intern, Department of Physics, Baba Farid College, Bathinda, INDIA

Baljinder Singh: MTTF Intern, Department of Computer Science, Baba Farid College, Bathinda, INDIA

Shaina Rani: MTTF Intern, Department of Mathematics, Baba Farid College, Bathinda, INDIA

Mehak Dhir: MTTF Intern, Department of Computer Science, Baba Farid College, Bathinda, INDIA

Jatin Goyal: MTTF Intern, Department of Computer Science, Shahid Bhagat Singh Govt College, Kotkapura, INDIA

Gurwinder Singh: MTTF Intern, Department of Computer Science, Baba Farid College, Bathinda, INDIA

Harshal Gharat: Department of Mathematics, Amity School of Applied Sciences, Amity University, Mumbai, INDIA

Cynthia Dias: Department of Mathematics, Amity School of Applied Sciences, Amity University, Mumbai, INDIA

Shital Patil: Department of Mathematics, Amity School of Applied Sciences, Amity University, Mumbai, INDIA

Virtual Clock

All the international participants are requested to follow Indian Standard Time (IST). The event will be scheduled according to IST local time.

Organized by

MathTech Thinking Foundation, INDIA

In collaboration with

Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Gujarat, INDIA.

Department of Mathematics, Punjabi University, Patiala, INDIA

Department of Mathematics, Baba Farid College, Bathinda, INDIA

Department of Mathematics, Sardar Patel University, Anand, INDIA

School of Science and Humanities, Poornima University, Jaipur, INDIA

Department of Mathematics, Ecole Normale Superieure de Meknes, Moulay Ismail University, MOROCCO

Helpdesk

For any query please feel free to contact us at the following WhatsApp numbers

For national participants:

Whatsapp numbers: +91 97790 80664, +91 94650 62438, +91 99141 10249, +91 86990 90920

For international participants:

Whatsapp numbers: +91 99297 67845, +91 98878 39042, +91 98727 96641, +91 62838 31907

Email Address:

contactus@batthziraptyltd.com