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
Pages
15
From page
83
To page
97
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
Serial Year
2019
Full Text URL
Record number
2611809
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