Results 91 to 100 of about 2,865 (170)

Non-Gaussian integrals and general hypergeometric functions

, 2020
By a non-Gaussian integral we mean integral of the product of an arbitrary function and exponent of a polynomial. We develop a theory of such integrals, which generalizes and simplifies the theory of general hypergeometric functions in the sense of I. M. Gelfand et al.
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MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION

Bulletin of the Korean Mathematical Society, 2017
The main purpose of this paper is to present closed integral form expressions for the Mathieu-type $\boldsymbol a$-series and its associated alternating version whose terms contain a $(p, q)$-extended Gauss' hypergeometric function. Certain upper bounds for the two series are also given.
Choi, Junesang, Parmar, Rakesh K., Poganj, Tibor   +2 more
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Monotonicity properties of the Gaussian hypergeometric functions with applications

Journal of Mathematical Inequalities
In this paper, the authors establish certain monotonicity properties of functions involving particular cases of Gaussian hypergeometric functions, which generalize known inequalities related to elliptic-type integrals and Grötzsch ring-type functions.
Ma, Xiao-Yan, He, Xing-Hua, Zhong, Gen-Hong   +2 more
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A Note on Convexity Properties for Gaussian Hypergeometric Function

Contemporary Mathematics
Gaussian hypergeometric function has been investigated in the context of geometric function theory regarding many aspects. Obtaining univalence conditions for this function is a line of research followed by many scholars. In the present study, methods specific to the differential superordination theory are used for obtaining properties of the Gaussian ...
Georgia Irina Oros, Ancuța Maria Rus
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A Discrete Cramér–Von Mises Statistic Related to Hahn Polynomials with Application to Goodness-of-Fit Testing for Hypergeometric Distributions

Axioms
We give the Karhunen–Loève expansion of the covariance function of a family of discrete weighted Brownian bridges, appearing as discrete analogues of continuous Gaussian processes related to Cramér –von Mises and Anderson–Darling statistics. This analogy
Jean-Renaud Pycke
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Integral representations for a class of triple confluent hypergeometric functions and their applications in boundary value problems

Қарағанды университетінің хабаршысы. Математика сериясы
Hypergeometric functions are divided into complete and confluent functions. Srivastava and Karlsson were the first to propose a method for constructing the complete set of triple Gaussian hypergeometric series and compiled a table containing definitions
A. Hasanov, T.G. Ergashev, A.R. Ryskan
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Tricomi Problem for a Mixed-Type Equation of the Second Kind in a Domain the Elliptic Part of Which is the First Quadrant of the Plane

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
In the theory of mixed-type equations, most studies have been carried out for bounded domains with smooth boundaries and for equations of the first kind.
Zunnunov, R.T., Bektosheva, Sh.A., Parovik, R.I.   +2 more
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Gaussian hypergeometric functions [PDF]

, 2003
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Inequality measures of the generalized gamma distribution with a practicable application tool. [PDF]

PLoS One
Altun E, Gezer F, Alqifari HN.
europepmc   +1 more source

A Review: Construction of Statistical Distributions. [PDF]

Entropy (Basel)
Fang KT, Lin YX, Deng YH.
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