Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs
Herein, new orthogonal polynomials have been generated from shifted Chebyshev
polynomials that fulfill a given set of homogeneous boundary conditions and the necessary …
polynomials that fulfill a given set of homogeneous boundary conditions and the necessary …
[PDF][PDF] A note on the new extended beta and Gauss hypergeometric functions
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 …
2F1 have been presented and investigated. In this sequel, we aim to give a further extension …
[PDF][PDF] Some results on type 2 degenerate poly-Fubini polynomials and numbers
In this paper, we introduce type 2 degenerate poly-Fubini polynomials and derive several
interesting characteristics and properties. In addition, we define type 2 degenerate unipoly …
interesting characteristics and properties. In addition, we define type 2 degenerate unipoly …
Construction of partially degenerate Laguerre–Bernoulli polynomials of the first kind
In this paper, we introduce partially degenerate Laguerre–Bernoulli polynomials of the first
kind and deduce some relevant properties by using a preliminary study of these …
kind and deduce some relevant properties by using a preliminary study of these …
Convexity and inequalities related to extended beta and confluent hypergeometric functions
In the paper, the authors establish the logarithmic convexity and some inequalities for the
extended beta function and, by using these inequalities for the extended beta function, find …
extended beta function and, by using these inequalities for the extended beta function, find …
The novel learning solutions to nonlinear differential models on a semi-infinite domain
The aim of this paper is to introduce a new numerical approach named least-squares
support vector machines based on generalized Laguerre functions collocation …
support vector machines based on generalized Laguerre functions collocation …
A new type of Taylor series expansion
We present a variant of the classical integration by parts to introduce a new type of Taylor
series expansion and to present some closed forms for integrals involving Jacobi and …
series expansion and to present some closed forms for integrals involving Jacobi and …
Identities of the Chebyshev polynomials, the inverse of a triangular matrix, and identities of the Catalan numbers
In the paper, the authors establish two identities to express the generating function of the
Chebyshev polynomials of the second kind and its higher order derivatives in terms of the …
Chebyshev polynomials of the second kind and its higher order derivatives in terms of the …
On a class of Mittag-Leffler-Konhauser two-dimensional polynomials
This article uses both operational and symbolic methods to establish and treat a hybrid form
of the Mittag-Leffler function and the Konhauser polynomials. Some well-known polynomials …
of the Mittag-Leffler function and the Konhauser polynomials. Some well-known polynomials …
[PDF][PDF] Some integral transforms of the generalized k-Mittag-Leffler function
SOME INTEGRAL TRANSFORMS OF THE GENERALIZED k-MITTAG-LEFFLER
FUNCTION Feng Qi and Kottakkaran Sooppy Nisar Page 1 PUBLICATIONS DE L’INSTITUT …
FUNCTION Feng Qi and Kottakkaran Sooppy Nisar Page 1 PUBLICATIONS DE L’INSTITUT …