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Now showing items 1-10 of 26

#### Apostol type (P, Q)-Frobenius-euler polynomials and numbers

(University of Kragujevac, Faculty of Science, 2018)

In the present paper, we introduce (p, q)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, ...

#### On Gould-Hopper-based fully degenerate poly-Bernoulli polynomials with a q-parameter

(MDPI AG, 2019)

We firstly consider the fully degenerate Gould-Hopper polynomials with a q parameter and investigate some of their properties including difference rule, inversion formula and addition formula. We then introduce the ...

#### Truncated Fubini polynomials

(MDPI AG, 2019)

In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, ...

#### On p-adic gamma function related to q-Daehee polynomials and numbers

(Universidad Catolica del Norte, 2019)

In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on Zp of p-adic gamma function via their Mahler expansions. We also derived two q-Volkenborn integrals of p-adic gamma function in terms of q-Daehee ...

#### Some (p, q)-analogues of Apostol type numbers and polynomials

(University of Tartu Press, 2019)

We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several ...

#### Multifarious correlations for p-adic gamma function and weighted q-Daehee polynomials

(Maejo University, 2019)

Diverse relations and identities for p-adic gamma function and p- adic Euler constant by means of weighted p-adic q-integral on pZ and Mahler expansion of the function are investigated. Then several correlations and formulas ...

#### The Boole Polynomials Associated with the p-adic Gamma Function

(Publications de l'Institut Mathématique, 2019)

We set some correlations between Boole polynomials and p-adic gamma function in conjunction with p-adic Euler contant. We develop diverse formulas for p-adic gamma function by means of their Mahler expansion and fermionic ...

#### A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions

(Mdpi, 2019)

In this paper, we introduce the (rho, q)-analog of the p-adic factorial function. By utilizing some properties of (rho, q)-numbers, we obtain several new and interesting identities and formulas. We then construct the p-adic ...

#### 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 ...

#### 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 ...