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Construction of a new family of Fubini-type polynomials and its applications
(Springer Science and Business Media Deutschland GmbH, December 2)This paper gives an overview of systematic and analytic approach of operational technique involves to study multi-variable special functions significant in both mathematical and applied framework and to introduce new ... -
Solution of Fractional Kinetic Equations Associated with the p,q -Mathieu-Type Series
(Hindawi Limited, 2020)In this paper, our aim is to finding the solutions of the fractional kinetic equation related with the p,q-Mathieu-type series through the procedure of Sumudu and Laplace transforms. The outcomes of fractional kinetic ... -
Construction of partially degenerate laguerre-genocchi polynomials with their applications
(American Institute of Mathematical Sciences, 2020)Various applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature. In this paper, we introduce partially degenerate ... -
Some Fractional Operators with the Generalized Bessel-Maitland Function
(Hindawi Limited, 2020)In this paper, we aim to determine some results of the generalized Bessel-Maitland function in the field of fractional calculus. Here, some relations of the generalized Bessel-Maitland functions and the Mittag-Leffler ... -
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. ... -
Modified laplace transform and its properties
(International Scientific Research Publications, 2020)In this paper we propose a new definition of the modified Laplace transform La(f(t)) for a piece-wise continuous function of exponential order which further reduces to simple Laplace transform for a = e where a a ≠ 1 and ... -
Symmetric functions of the k-Fibonacci and k-Lucas numbers
(World Scientific Publishing Co. Pte Ltd, 2020)In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Lucas numbers and Fibonacci polynomials. By making use of the new operator defined in this paper, we give ... -
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 ... -
Integral inequalities for the strongly-generalized nonconvex functions
(Natural Sciences Publishing, March 2020)In this paper, we establish some new inequalities of Hermite-Hadamard type for the strongly-generalized nonconvex function by using the generalized fractional integral operator. Some new results as special cases are provided ... -
Identities involving 3-variable Hermite polynomials arising from umbral method
(Springer Science and Business Media Deutschland GmbH, December 2)In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, ... -
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 ... -
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 ... -
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 ... -
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 ... -
Some common fixed point theorems for four self-mappings satisfying a general contractive condition
(Boletim da Sociedade Paranaense de Matematica, 2021)In the paper, we derive a general case for four weakly compatible self maps satisfying a general contractive condition due to the same method introduced by Altun et al. [2]. We make use of such a study to prove common fixed ... -
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 ... -
On (p,q)-Bernoulli, (p,q)-Euler and (p,q)-genocchi polynomials
(American Scientific Publishers, 2016)In the present paper, we introduce a new kind of Bernoulli, Euler and Genocchi polynomials based on the (p,q)-calculus and investigate their some properties involving addition theorems, difference equations, derivative ... -
On the properties of q-Bernstein-type polynomials
(Natural Sciences Publishing USA, 2017)The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions depend on the several variables. We derive the recurrence formulas related to the second Stirling numbers and generalized ... -
A note on the new extended beta and gauss hypergeometric functions
(Natural Sciences Publishing USA, 2018-01-01)A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 have been presented and investigated. In this sequel, we aim to give a further extension of the extended beta function, which ...
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