I-Function and Its Applications

Prof. Vinod Prasad Saxena completed his M.Sc. in 1966 with distinction from Jiwaji University Gwalior, Madhya Pradesh. Four years afterwards he earned a Ph.D. for his research contribution entitled “Integral Transforms and Their Technical Application". At the postdoctoral level, he worked as CSIR senior Research Fellow and postdoctoral research fellow at SATI, Vidisha and M.A. College of Technology Bhopal from May 1969 to July 1971. Besides, Dr. V. P. Saxena was a visiting scientist at the University of Cambridge, England. He was also a visiting scientist in 1978 under the British Council UGC (INDIA) Exchange of Young Scientists Programme and worked under Sri James Hill, Professor of LUC Asian University. Besides being a professor, he was Dean, Faculty of Science, Jiwaji University, Gwalior from 1980 to 1986 and again from 1990 to 1992. Dr. V. P. Saxena took over as emergency Vice Chancellor, Jiwaji University on August 9, 2000. Dr. V. P. Saxena visited England, China, Singapore, Argentina, Turkey, Cyprus, Germany where he had delivered a series of lectures and presented scores of research papers on Mathematics and Engineering. Dr. Praveen Agarwal is Vice-Principal and Professor at Anand International College of Engineering, Jaipur, India. He was listed among Stanford Univeristy's ranking of the World's Top 2% Scientist in 2020, 2021, 2022, and 2023. In the 2023 ranking of best scientists worldwide announced by Research.com, he ranked 21st at the India level and 2436th worldwide in Mathematics. He is the Editor of Book series Mathematical Modelling & Computational Method for Innovation, Taylor & Francis Group. Dr. Altaf Ahmad Bhat earned his Ph.D. from the School of Mathematics and Allied Sciences, Jiwaji University Gwalior in 2019. He qualified CSIR NET in Mathematics in December 2015. His fields of specialization are Special Functions, Basic Hypergeometric Series, and Fractional Calculus. He has published more than 40 research papers in journals of international repute. He has 9 years of Teaching experience as Assistant Professor of Mathematics at Department of Computer Science and Engineering, Islamic University of Science and Technology – Awantipora – Pulwama – Kashmir – India from March 2011 to December 2015 and January 2018 to February 2022. Since November 2022 he has been Lecturer at the Department of Mathematics and Computing Skills Unit, Preparatory Studies Centre, University of Technology and Applied Sciences – Salalah – Sultanate of Oman.

1.INTRODUCTION 2.TRANSFORMATION OF I-FUNCTION AND H-FUNCTION FOR RATIONAL PARAMETERS 3.CERTAIN INTEGRALS INVOLVING I-FUNCTION 4. SOME EXPANSION FORMULAS OF I-FUNCTION 5.SINGLE AND DUAL INTEGRAL EQUATIONS INVOLVING I-FUNCTION 6. INTEGRAL EQUATIONS INVOLVING BESSEL-MAITLAND FUNCTIONS 7. ASSOCIATED GENERATING FUNCTIONS q AND (p,q)-ANALOGUE OF I-FUNCTION 8. FUNCTION APPLICATIONS