Results 51 to 60 of about 21,110 (236)
ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian Journal of Computing, 2021 Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
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On the Volterra-Type Fractional Integro-Differential Equations Pertaining to Special Functions
Fractal and Fractional, 2020 In this article, we apply an integral transform-based technique to solve the fractional order Volterra-type integro-differential equation (FVIDE) involving the generalized Lorenzo-Hartely function and generalized Lauricella confluent hypergeometric ...
Yudhveer Singh +4 more
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Journal of New Theory, 2022 The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties ...
Umar Muhammad Abubakar
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Generalized Dirac Oscillator in Cosmic String Space-Time
Advances in High Energy Physics, 2018 In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pμ with its alternative pμ+mωβfμxμ. In particular, the quantum dynamics is considered for the function fμxμ to be taken as Cornell potential ...
Lin-Fang Deng +3 more
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A Note on the New Extended Beta Function with Its Application
Journal of Mathematics, 2021 The purpose of this research is to provide a systematic review of a new type of extended beta function and hypergeometric function using a confluent hypergeometric function, as well as to examine various belongings and formulas of the new type of ...
Vandana Palsaniya +3 more
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Relations between Confluent Hypergeometric Functions [PDF]
Proceedings of the National Academy of Sciences, 1931 Some of the functions mentioned in a recent paper may be expressed in terms of known functions.
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Fuzzy Differential Subordinations Obtained Using a Hypergeometric Integral Operator
Mathematics, 2021 This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. Using the ideas specific to geometric function theory from the field of complex analysis, fuzzy differential ...
Georgia Irina Oros
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Univalence of Gaussian and confluent hypergeometric functions [PDF]
Proceedings of the American Mathematical Society, 1990 Conditions are determined for the univalence convexity and starlikeness of Gaussian and confluent hypergeometric functions. In addition, subordination results are obtained for these classes of functions.
Miller, Sanford S., Mocanu, Petru T.
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On the analytic extension of three ratios of Horn's confluent hypergeometric function $\mathrm{H}_7$
Research in MathematicsIn this paper, we consider the extension of the analytic functions of two variables by special families of functions — continued fractions. In particular, we establish new symmetric domains of the analytical continuation of three ratios of Horn's ...
V. Hladun, R. Rusyn, M. Dmytryshyn
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Қарағанды университетінің хабаршысы. Математика сериясыThis article deals with the construction of particular solutions for a second-order multidimensional singular partial differential equation, which generalizes the famous telegraph and Helmholtz equations.
Z.O. Arzikulov, T.G. Ergashev
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