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A New Identity for Generalized Hypergeometric Functions and Applications [PDF]
Axioms, 2019 We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (Some summation theorems for generalized hypergeometric functions, Axioms, 7 (2018), Article 38).
Mohammad Masjed-Jamei +2 more
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Properties and Applications of Extended Hypergeometric Functions
Ingeniería y Ciencia, 2014 In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar +2 more
doaj +6 more sources
On applications of hypergeometric functions
Journal of Computational and Applied Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Barnard
semanticscholar +3 more sources
A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions [PDF]
Abstract and Applied Analysis, 2011 We introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution). A characterization property such as the coefficient bound is obtained for this class. The other related properties, which
Firas Ghanim, Maslina Darus
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Moments of Dirichlet splines and their applications to hypergeometric functions
Journal of Computational and Applied Mathematics, 1994 Dirichlet averages of multivariate functions are employed for a derivation of basic recurrence formulas for the moments of multivariate Dirichlet splines. An algorithm for computing the moments of multivariate simplex splines is presented. Applications to hypergeometric functions of several variables are discussed.
Edward Neuman
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Some Inequalities of Extended Hypergeometric Functions
Mathematics, 2021 Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain +3 more
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Bicomplex generalized hypergeometric functions and their applications [PDF]
Journal of Mathematical Analysis and Applications, 2023 In this work, generalized hypergeometric functions for bicomplex argument is introduced and its convergence criteria is derived. Furthermore, integral representation of this function has been established. Moreover, quadratic transformation, differential relation, analyticity and contiguous relations of this function are derived.
Snehasis Bera +2 more
openaire +4 more sources
A Note on Generalized q-Difference Equations and Their Applications Involving q-Hypergeometric Functions [PDF]
Symmetry, 2020 Our investigation is motivated essentially by the demonstrated applications of the basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and basic (or q-) hypergeometric polynomials, in many diverse ...
H M Srivastava, Jian Cao, Sama Arjika
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Sharp Landen transformation inequalities for hypergeometric functions, with applications
Journal of Mathematical Analysis and Applications, 2019 The authors present sharp Landen transformation inequalities for the hypergeometric functions F 1 2 ( a , b ; a + b ; x ) and F 1 2 ( a , b ; ( a + b + 1 ) / 2 ; x ) , by showing the monotonicity properties of certain combinations defined in terms of one
Song-Liang Qiu +2 more
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Applications of the Stieltjes and Laplace transform representations of the hypergeometric functions [PDF]
Integral Transforms and Special Functions, 2017 In our previous work, we found sufficient conditions to be imposed on the parameters of the generalized hypergeometric function in order that it be completely monotonic or of Stieltjes class.
D B Karp
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