Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions [PDF]
MethodsXSpecial Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Faten F. Abdulnabi +2 more
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The polarized two-loop massive pure singlet Wilson coefficient for deep-inelastic scattering
Nuclear Physics B, 2019 We calculate the polarized massive two–loop pure singlet Wilson coefficient contributing to the structure functions g1(x,Q2) analytically in the whole kinematic region. The Wilson coefficient contains Kummer–elliptic integrals.
J. Blümlein, C. Raab, K. Schönwald
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Applications of Confluent Hypergeometric Function in Strong Superordination Theory
Axioms, 2022 In the research presented in this paper, confluent hypergeometric function is embedded in the theory of strong differential superordinations. In order to proceed with the study, the form of the confluent hypergeometric function is adapted taking into ...
Georgia Irina Oros +2 more
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Some analytical merits of Kummer-Type function associated with Mittag-Leffler parameters
Arab Journal of Basic and Applied Sciences, 2021 As of late, the study of Fractional Calculus (FC) and Special Functions (SFs) has been interestingly prompted in various realms of mathematics, engineering and sciences. This is due to the considerable demonstrated potential of their applications.
Firas Ghanim, Hiba Fawzi Al-Janaby
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Bimatrix variate Kummer-gamma distribution
Results in Applied Mathematics, 2021 In this article, we propose a bimatrix variate Kummer-gamma distribution. Several properties of this distribution including moment generating function, marginal and conditional distributions, moments are also derived.
Daya K. Nagar +2 more
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Asymmetric hypergeometric laser beams [PDF]
Компьютерная оптика, 2019 Here we study asymmetric Kummer beams (aK-beams) with their scalar complex amplitude being proportional to the Kummer function (a degenerate hypergeometric function).
Victor Kotlyar +2 more
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Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function
Mathematics, 2021 Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim +3 more
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Generalized Summation Formulas for the Kampé de Fériet Function
Axioms, 2021 By employing two well-known Euler’s transformations for the hypergeometric function 2F1, Liu and Wang established numerous general transformation and reduction formulas for the Kampé de Fériet function and deduced many new summation formulas for the ...
Junesang Choi +2 more
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Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations
Mathematical Biosciences and Engineering, 2022 In this paper, using the fractional integral with respect to the Ψ function and the Ψ-Hilfer fractional derivative, we consider the Volterra fractional equations.
Zahra Eidinejad, Reza Saadati
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Summation identities for the Kummer confluent hypergeometric function 1F1(a; b;z)
Kuwait Journal of Science, 2023 The role which hypergeometric functions have in the numerical and symbolic calculation, especially in the fields of applied mathematics and mathematical physics motivated research in this paper.
Gradimir V. Milovanović +2 more
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