ON GENERALIZED EXTENDED BETA AND HYPERGEOMETRIC FUNCTIONS

被引:0
|
作者
Ali, Shoukat [1 ]
Regar, Naresh kumar [1 ]
Parida, Subrat [2 ]
机构
[1] Govt Engn Coll Bikaner, Dept Math, Bikaner 334004, Rajasthan, India
[2] Pondicherry Univ, Ramanujan Sch Math Sci, Dept Math, A Cent Univ, Pondicherry 605014, India
来源
HONAM MATHEMATICAL JOURNAL | 2024年 / 46卷 / 02期
关键词
ondary Key words and phrases. Carlson notations; generalized extended beta function; Gauss hypergeometric function; confluent hypergeometric function; Mittag-Leffler function; Bessel- Struve Kernel function; Melllin transform; log-convexity and Tura<acute accent>n type inequality; general- ized extended beta distribution; generalized extended hypergeometric type functions; MATHIEU-TYPE SERIES; Q)-EXTENDED BESSEL; (P;
D O I
10.5831/HMJ.2024.46.2.313
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the current study, our aim is to define new generalized extended beta and hypergeometric types of functions. Next, we methodically determine several integral representations, Mellin transforms, summation formulas, and recurrence relations. Moreover, we provide log-convexity, Tura<acute accent>n type inequality for the generalized extended beta function and differentiation formulas, transformation formulas, differential and difference relations for the generalized extended hypergeometric type functions. Also, we additionally suggest a generating function. Further, we provide the generalized extended beta distribution by making use of the generalized extended beta function as an application to statistics and obtaining variance, coefficient of variation, moment generating function, characteristic function, cumulative distribution function, and cumulative distribution function's complement.
引用
收藏
页码:313 / 334
页数:22
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