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Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications
(Springer, 2020)
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 generalized degenerate Gould-Hopper based fully degenerate Bell polynomials
(Journal Mathematics & Computer Science, 2020)
In this paper, we introduce both the generalized degenerate Gould-Hopper based degenerate Stirling polynomials of the second kind and the generalized degenerate Gould-Hopper based fully degenerate Bell polynomials. We study ...
Generalized Apostol Type Polynomials Based on Twin-Basic Numbers
(Rgn Publ, 2020)
In this work, we consider a class of new generating function for (p, q)-analog of Apostol type polynomials of order alpha including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ...
A Study on Some New Results Arising from (p, q)-Calculus
(Institute of Applied Mathematics, 2020)
This paper includes some new investigations and results for post quantum calculus, denoted by (p, q)-calculus. A chain rule for (p, q)-derivative is given. Also, a new (p, q)-analogue of the exponential function is introduced ...
Unified Degenerate Central Bell Polynomials
(University of Prishtina, 2020)
In this paper, we firstly consider extended degenerate central factorial numbers of the second kind and provide some properties of them. We then introduce unified degenerate central Bell polynomials and numbers and investigate ...
Apostol type (p, q)-Frobenius-Eulerian polynomials and numbers
(Springer, 2020)
The main purpose of this paper is to introduce Apostol type (p, q)-Frobenius-Eulerian numbers and polynomials and investigate some of their basic identities and properties including addition theorems, difference equations, ...
A New Approach to the Poisson Distribution: Degenerate Poisson Distribution
(University of Prishtina, 2020)
The main purpose of this paper is to introduce and investigate degenerate Poisson distribution which is a new extension of the Poisson distribution including the degenerate exponential function. We then provide several ...
On Degenerate Truncated Special Polynomials
(Mdpi, 2020)
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation ...
Bell-Based Bernoulli Polynomials with Applications
(MDPI, 2021)
In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the ...
Apostol type (p, q)-Frobenius–Eulerian polynomials and numbers
(Springer, 2021)
The main purpose of this paper is to introduce Apostol type (p, q)-Frobenius–Eulerian numbers and polynomials and investigate some of their basic identities and properties including addition theorems, difference equations, ...
