Results 21 to 30 of about 56,955 (119)
A Family of Generalized Legendre-Based Apostol-Type Polynomials
Axioms, 2022 Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields.
T. Usman +3 more
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Apostol type (p, q): Frobenius-Euler polynomials and numbers [PDF]
Kragujevac Journal of Mathematics, 2018 Summary: 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, difference equations, derivative properties, recurrence relations and so on.
Duran, Ugur, Acikgoz, Mehmet
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Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers by using the Mittag–Leffler function and the confluent hypergeometric function.
Nabiullah Khan +4 more
wiley +1 more source
Chronic Diseases and Translational Medicine, Volume 7, Issue 2, Page 117-124, June 2021., 2021 Graphical abstract Abstract Background Air pollution and poor ambient air quality are significantly related to multiple health risks. One associated disease is chronic obstructive pulmonary disease (COPD), a preventable disease with several contributing factors and one of the leading causes of morbidity/mortality locally and globally.
Xerxes Seposo +7 more
wiley +1 more source
On the three families of extended Laguerre-based Apostol-type polynomials
, 2021 In this paper, we introduce a new class of generalized extended Laguerre-based Apostol-type-Bernoulli, Apostol-type-Euler and Apostoltype-Genocchi polynomials. These Apostol type polynomials are used to connect Fubini-Hermite and Bell-Hermite polynomials
M. A. Pathan, W. Khan
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Unified Bernoulli-Euler polynomials of Apostol type
Indian Journal of Pure and Applied Mathematics, 2022 The object of this paper is to introduce and study properties of unified Apostol-Bernoulli and Apostol-Euler polynomials noted by $\left\{\mathfrak{V_{n}}(x; ; )\right\}_{n \geq 0}$. We study some arithmetic properties of $\left\{\mathfrak{V_{n}}(x; ; )\right\}_{n \geq 0}$ as their connection to Apostol-Euler polynomials and Apostol-Bernoulli ...
Hacène Belbachir +2 more
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Certain Properties of Apostol-Type Hermite-Based- Frobenius-Genocchi Polynomials [PDF]
Kragujevac Journal of Mathematics, 2021 This paper is well designed to set-up some new identities related to generalized Apostol-type Hermite-based-Frobenius-Genocchi polynomials and by applying the generating functions, we derive some implicit summation formulae and symmetric identities.
Khan, Waseem A., Srivastava, Divesh
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Journal of Applied Mathematics, Volume 2021, Issue 1, 2021., 2021 Asymptotic approximations of Tangent polynomials, Tangent‐Bernoulli, and Tangent‐Genocchi polynomials are derived using saddle point method and the approximations are expressed in terms of hyperbolic functions. For each polynomial there are two approximations derived with one having enlarged region of validity.
Cristina B. Corcino +3 more
wiley +1 more source
New biparametric families of apostol-frobenius-euler polynomials of level m [PDF]
, 2021 We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-mm. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized λλ-Stirling type numbers of the ...
Bedoya, D. +3 more
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Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials [PDF]
, 2020 The main purpose of this paper is to present various identities and computation formulas for certain classes of Apostol-type numbers and polynomials. The results of this paper contain not only the $\lambda$-Apostol-Daehee numbers and polynomials, but ...
Irem Kucukoglu
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