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A Family of Theta-Function Identities Related to Jacobi's Triple-Product Identity

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2020; 27 (1)

The main object of this paper is to present a family of q-series identities which involve some of the theta functions of Jacobi and Ramanujan. Each of......

A Note on Central Bell Numbers and Polynomials

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2020; 27 (1)

The central factorial numbers of the second kind appear in the expansion of powers of x in terms of the central factorial sequence. In this paper, we ......

Dynamic Response Analysis of Fractionally-Damped Generalized Bagley-Torvik Equation Subject to External Loads

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2020; 27 (2)

This article deals with the solution of a fractionally-damped generalized Bagley-Torvik (BT) equation whose damping characteristics are well-defined b......

Some Fixed Point Theorems for F(psi, phi)-Contractions and Their Application to Fractional Differential Equations

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2020; 27 (3)

The main object of this paper is to establish some fixed point results for F(psi, phi)contractions in partially-ordered metric spaces. As an applicati......

An Application of the Gegenbauer Wavelet Method for the Numerical Solution of the Fractional Bagley-Torvik Equation

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2019; 26 (1)

In this paper, a potentially useful new method based on the Gegenbauer wavelet expansion, together with operational matrices of fractional integral an......

JIF:0.87

Some Families of the Incomplete H-Functions and the Incomplete (H)over-bar-Functions and Associated Integral Transforms and Operators of Fractional Calculus with Applications

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2018; 25 (1)

Our present investigation is inspired by the recent interesting extensions (by Srivastava et al. [35]) of a pair of the Mellin-Barnes type contour int......

JIF:0.87

Degenerate r-Stirling Numbers and r-Bell Polynomials

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2018; 25 (1)

The purpose of this paper is to exploit umbral calculus in order to derive some properties, recurrence relations, and identities related to the degene......

JIF:0.87

A Note on the Bailey Transform, the Bailey Pair and the WP Bailey Pair and Their Applications

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2018; 25 (3)

The subject of q-analysis, which is popularly known as quantum analysis, has its roots in such important areas as (for example) Mathematical Physics, ......

JIF:0.87

A new class of Abelian theorems for the Mehler-Fock transforms

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2017; 24 (1)

The main object of this paper is to derive several new Abelian theorems for the Mehler-Fock transforms. The results presented here are compared with t......

JIF:0.78

On lambda-Bell polynomials associated with umbral calculus

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2017; 24 (1)

In this paper, we introduce some new lambda-Bell polynomials and Bell polynomials of the second kind and investigate properties of these polynomials. ......

JIF:0.78

Degenerate Laplace transform and degenerate gamma function

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2017; 24 (2)

In this paper, we introduce the degenerate Laplace transform and degenerate gamma function and investigate some of their properties. From our investig......

JIF:0.78

A family of pseudo-differential operators on the Schwartz space associated with the fractional Fourier transform

期刊: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2017; 24 (4)

Motivated essentially by their potential for applications in the mathematical, physical, and engineering sciences, the authors introduce and investiga......

JIF:0.78

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