Fundamental Solutions of the Generalized Helmholtz Equation with Several Singular Coefficients and Confluent Hypergeometric Functions of Many Variables
Sign Up to like & getrecommendations! Published in 2019 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080220010047
Abstract: Abstract An investigation of applied problems related to heat conduction and dynamics, electromagnetic oscillations and aerodynamics, quantum mechanics and potential theory leads to the study of various hypergeometric functions. The great success of the theory… read more here.
Keywords: confluent hypergeometric; hypergeometric functions; fundamental solutions; solutions generalized ... See more keywords
Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function
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DOI: 10.1155/2021/2491248
Abstract: In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and generating function relations. Different… read more here.
Keywords: function; properties applications; confluent hypergeometric; gamma function ... See more keywords
Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1717-8
Abstract: In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively) mappings, give a… read more here.
Keywords: confluent hypergeometric; kummer confluent; hypergeometric function; gamma function ... See more keywords
Some finite integrals involving Mittag-Leffler confluent hypergeometric function
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DOI: 10.1515/anly-2022-1113
Abstract: Abstract In this work, we propose some unified integral formulas for the Mittag-Leffler confluent hypergeometric function (MLCHF), and our findings are assessed in terms of generalized special functions. Additionally, certain unique cases of confluent hypergeometric… read more here.
Keywords: leffler confluent; confluent hypergeometric; mittag leffler; hypergeometric function ... See more keywords
Approximation for the Ratios of the Confluent Hypergeometric Function ΦD(N) by the Branched Continued Fractions
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DOI: 10.3390/axioms11090426
Abstract: The paper deals with the problem of expansion of the ratios of the confluent hypergeometric function of N variables ΦD(N)(a,b¯;c;z¯) into the branched continued fractions (BCF) of the general form with N branches of branching… read more here.
Keywords: ratios confluent; function; continued fractions; confluent hypergeometric ... See more keywords
The Confluent Hypergeometric Beta Distribution
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DOI: 10.3390/math11092169
Abstract: The confluent hypergeometric beta distribution due to Gordy has been known since the 1990s, but not much of is known in terms of its mathematical properties. In this paper, we provide a comprehensive treatment of… read more here.
Keywords: beta distribution; function; confluent hypergeometric; distribution ... See more keywords