Search
Now showing items 1-10 of 18
Estimates of certain paraxial diffraction integral operator and its generalized properties
(Springer, 1 December)
This paper aims to discuss a generalization of certain paraxial diffraction integral operator in a class of generalized functions. At the start of this paper, we propose a convolution formula and establish certain convolution ...
Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications
(Springer, 1 December)
Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 ...
New type of degenerate Daehee polynomials of the second kind
(Springer, 1 December)
Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. ...
Computation of certain integral formulas involving generalized Wright function
(Springer, 1 December)
The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the ...
New construction of type 2 degenerate central Fubini polynomials with their certain properties
(Springer Science and Business Media Deutschland GmbH, 1 December)
Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind. Motivated by their work, we introduce degenerate version ...
Certain results for the 3-variable laguerre-hermite polynomials
(Natural Sciences Publishing, 1 Septembe)
This paper addresses the mathematical inspection of differential and integral equations for hybrid forms of special polynomials using generating functions. The study aims to find out the differential equations of 3-variable ...
Fractional calculus formulas for Mathieu-type series and generalized Mittag-Leffler function
(JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, 2020)
Fractional calculus is allowing integrals and derivatives of any positive order (the term 'fractional' kept only for historical reasons), which can be considered a branch of mathematical physics which mainly deals with ...
A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays
(Elsevier Inc., 2020-03-15)
The significance of multi-variable special polynomials has been identified both in mathematical and applied frameworks. The article aims to focus on a new class of 3-variable Legendre-truncated-exponential-based Sheffer ...
A fractional system of Cauchy-reaction diffusion equations by adopting Robotnov function
(John Wiley and Sons Inc, 2020)
This work is motivated essentially by the success of the applications of the nonsingular Yang–Abdel–Aty–Cattani (YAC) derivative in many research area of science, engineering, and financial mathematics. Furthermore, the ...
A new extension of Srivastava's triple hypergeometric functions and their associated properties
(De Gruyter Open Ltd, 2020)
In this paper, we define a new extension of Srivastava's triple hypergeometric functions by using a new extension of Pochhammer's symbol that was recently proposed by Srivastava, Rahman and Nisar [H. M. Srivastava, G. ...
