Results 21 to 30 of about 10,852 (220)
GENERATING FUNCTIONS FOR THE EXTENDED WRIGHT TYPE HYPERGEOMETRIC FUNCTION
Communications of the Korean Mathematical Society, 2017 Ranjan Kumar Jana, Ajay Shukla
exaly +3 more sources
A Note on the New Extended Beta Function with Its Application
Journal of Mathematics, 2021 The purpose of this research is to provide a systematic review of a new type of extended beta function and hypergeometric function using a confluent hypergeometric function, as well as to examine various belongings and formulas of the new type of ...
Vandana Palsaniya +3 more
doaj +1 more source
EXTENDED HYPERGEOMETRIC FUNCTIONS OF TWO AND THREE VARIABLES
Communications of the Korean Mathematical Society, 2015 P Agarwal, S Jain, Junesang Choi
exaly +3 more sources
Extended incomplete version of hypergeometric functions
Filomat, 2020 Recently, the incomplete Pochhammer ratios are defined in terms of incomplete beta and gamma functions [10]. In this paper, we introduce the extended incomplete version of Pochhammer symbols in terms of the generalized incomplete gamma functions.
Ozarslan, Mehmet Ali, Ustaoglu, Ceren
openaire +2 more sources
Some Results on the Extended Hypergeometric Function
The Journal of the Indian Mathematical Society, 2020 An attempt is made to define the extended Pochhammer symbol (λ)n,α which leads to an extension of the classical hypergeometric functions. Differential equations and some properties have also been discussed.
Jana, Ranjan Kumar +2 more
openaire +1 more source
Open Physics, 2022 The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi +4 more
doaj +1 more source
Inequalities of extended beta and extended hypergeometric functions [PDF]
Journal of Inequalities and Applications, 2017 This paper studies the log-convexity of the extended beta functions. As a consequence, Turán-type inequalities are established.The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions,. The particular cases of those results also gives the Turán-type inequalities
openaire +5 more sources
A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms
Journal of Mathematics, 2022 The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new.
Vandana Palsaniya +3 more
doaj +1 more source
ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian Journal of Computing, 2021 Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
doaj +1 more source
Extended elliptic-type integrals with associated properties and Turán-type inequalities
Advances in Difference Equations, 2021 Our aim is to study and investigate the family of ( p , q ) $(p, q)$ -extended (incomplete and complete) elliptic-type integrals for which the usual properties and representations of various known results of the (classical) elliptic integrals are ...
Rakesh K. Parmar +3 more
doaj +1 more source