arXiv subjects

Saddam Husain

Publications and source records attributed to Saddam Husain.

3 recordsLinked to original sources

arXiv2021

Bell based Apostol type polynomials and its properties

Many authors studied mix type polynomials and their properties. For their numerous uses in Statistics, Combinatorial analysis and Number theory. In the present article, we define a generating function of mix type Bell based Apostol type polynomials and numbers of order a. Furthermore, we derive some elementary properties and identities of Bell based Apostol type polynomials of order a such as correlation formulas, Implicit summation formulas, derivative formulas and their special cases. Also, we derive some relation with Stirling numbers.

math.NT↗

arXiv2021

Analysis of Bell based Euler polynomials and thier application

In the present article, we study Bell based Euler polynomial of order α and investigate some useful correlation formula, summation formula and derivative formula. Also, we introduce some relation of string number of the second kind. Moreover, we drive several important formulae of bell based Euler polynomial by using umbral calculus.

math.NT↗

arXiv2021

Certain study of generalized Apostol-Bernoulli poly-daehee polynomials and its properties

In this paper, we present a new type of generating function of generalized Apostol-Bernoulli poly Daehee polynomial (GABPDP). By using the generating function of GABPDP, we discuss some special cases and useful identities of generalized Apostol-Bernoulli poly Daehee polynomials. We also drive implicit summation formulae of it.

math.NT↗