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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
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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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Extended Conformable K-Hypergeometric Function and Its Application
Advances in Mathematical PhysicsThe extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including
Maham Abdul Qayyum +4 more
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MathematicsA sequence of n trials from a finite population with no replacement is described by the hypergeometric distribution as the number of successes. Calculating the likelihood that factory-produced items would be defective is one of the most popular uses of ...
Tariq Al-Hawary +2 more
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Mathematical and Computer Modelling, 2006 In this paper the authors define a class of functions \(f(z)\) that are meromorphic, normalized, analytic and \(p\)-valent in the punctured unit disc \(U^*\) and satisfy the subordination \[ \gamma\frac{(f*g)^{(m)}(z)}{(f*h)^{(m)}(z)} \prec \gamma -\frac{p(A-B)z}{1+Bz} \quad (z\in U^*), \] where \(\gamma>0,\) \(0\leq ...
Ravinder Krishna Raina +1 more
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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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Certain integral representations involving hypergeometric functions in two variables [PDF]
Mathematica Moravica, 2022 Various integral representations of hypergeometric functions have been introduced and investigated due to their important applications in divers fields.
Younis Jihad +3 more
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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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Implementation of summation theorems of Andrews and Gessel-Stanton
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Generalized hypergeometric functions and their natural generalizations in one and several variables appear in many mathematical problems and their applications.
M.I. Qureshi, T.R. Shah
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