Title of article :
Extended Beta, Hypergeometric and confluent Hypergeometric functions
Author/Authors :
Khan, Nabiullah Department of Applied Mathematics - Faculty of Engineering and Technology - Aligarh Muslim University, Aligarh, India , Usman, Talha Department of Applied Mathematics - Faculty of Engineering and Technology - Aligarh Muslim University, Aligarh, India , Aman, Mohd Department of Applied Mathematics - Faculty of Engineering and Technology - Aligarh Muslim University, Aligarh, India
Abstract :
We aim to introduce a new extension of beta function and to study its important properties. Using
this definition, we introduce and investigate new extended hypergeometric and confluent hypergeometric
functions. Further, some hybrid representations of this extended beta function are derived which
include some well known special functions and polynomials
Keywords :
Gamma function , Beta function , Hypergeometric function , Confluent hypergeometric function , Mellin transformation , Beta Distribution
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
