Results 41 to 50 of about 821 (208)
Hermite-Hadamard Inequalities Involving The Gauss Hypergeometric Function [PDF]
, 2018 7th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA) -- AUG 28-31, 2018 -- Kyiv, UKRAINEWOS: 000469338300023The goal of this study is obtained the new generalization Hermite-Hadamard-Fejer inequalities involving the ...
Sarıkaya, Mehmet Zeki +1 more
core +1 more source
Extended Riemann-Liouville type fractional derivative operator with applications
Open Mathematics, 2017 The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley +1 more source
Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations [PDF]
, 2007 Two-by-two matrix functions, which are the lifts of the local solutions of the matrix hypergeometric differential equation of SL SL type at 0,1,∞ 0,1,∞ to the upper half plane by the lambda function, are introduced.
WATANABE, Humihiko
core
Fractional Calculus of the Extended Hypergeometric Function
, 2020 Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher ...
Sahin, Recep +3 more
core +1 more source
Advances in Difference Equations, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
doaj +1 more source
Gauss’ Hypergeometric Function [PDF]
, 2007 We give a basic introduction to the properties of Gauss’ hypergeometric functions, with an emphasis on the determination of the monodromy group of the Gaussian hypergeometric equation.
openaire +1 more source
A generalization of the Gauss hypergeometric series
, 1977 A generalization of the Gauss hypergeometric function to t variables is given, and the Euler identity is shown to hold for this generalized function.
L.C Biedenharn +3 more
core +1 more source
New Extension of Beta Function and Its Applications
International Journal of Mathematics and Mathematical Sciences, 2018 In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their
Mehar Chand, Hanaa Hachimi, Rekha Rani
doaj +1 more source
Algebraic Transformations of Gauss Hypergeometric Functions
Funkcialaj Ekvacioj, 2009 29 pages; 3 tables; Uniqueness claims and Remark 7.1 clarified by footnotes; formulas (28), (29 ...
openaire +3 more sources