173 citations · 1.2k across the 43 of their papers we have counts for
43 papers
Novel Formulas for B-Splines, Bernstein Basis Functions and special numbers: Approach to Derivative and Functional Equations of Generating Functions
Yilmaz Simsek
One of the main purposes of this article is to give functional equations and differential equations between Bernstein basis functions and generating functions of B-spline curves. U…
On the generating functions and special functions associated with superoscillations
Fabrizio Colombo, Rolf Soeren Krausshar, Irene Sabadini +1
The aim of this paper is to study generating functions for the coefficients of the classical superoscillatory function associated with weak measurements. We also establish some new…
Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials
Yilmaz Simsek
The aim of this paper is to construct general forms of ordinary generating functions for special numbers and polynomials involving Fibonacci type numbers and polynomials, Lucas num…
Derivation of Computational Formulas for certain class of finite sums: Approach to Generating functions arising from -adic integrals and special functions
Yilmaz Simsek
The aim of this paper is to construct generating functions for some families of special finite sums with the aid of the Newton-Mercator series, hypergeometric series, and -adic…
New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums
Yilmaz Simsek
By applying p-adic integral on the set of p-adic integers in [27] (Interpolation Functions for New Classes Special Numbers and Polynomials via Applications of p-adic Integrals and…
Construction of a generalization of the Leibnitz numbers and their properties
Yilmaz Simsek
The aim of this paper is to give a novel generalization of the Leibnitz numbers derived from application of the Beta function to the modification for the Bernstein basis functions.…