Results 11 to 20 of about 7,557 (129)

Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials

Axioms, 2012
The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius–Euler polynomials and numbers).
Yilmaz Simsek
doaj   +1 more source

Mod-Poisson convergence in probability and number theory [PDF]

, 2009
Building on earlier work introducing the notion of "mod-Gaussian" convergence of sequences of random variables, which arises naturally in Random Matrix Theory and number theory, we discuss the analogue notion of "mod-Poisson" convergence.
Arratia, Ashkan Nikeghbali, Barbour, Barbour, Breiman, Coram, Emmanuel Kowalski, Flajolet, Gonek, Granville, Granville, Hardy, Hwang, Jacod, Katz, Keating, Petrov, Rhoades, Roos, Rosen, Rényi, Tenenbaum, Whittaker   +22 more
core   +2 more sources

Explicit Properties of Apostol-Type Frobenius–Euler Polynomials Involving q-Trigonometric Functions with Applications in Computer Modeling

Mathematics, 2023
In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-exponential ...
Yongsheng Rao, Waseem Ahmad Khan, Serkan Araci, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

On the Identities of Symmetry for the ζ-Euler Polynomials of Higher Order

Advances in Difference Equations, 2009
The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate p-adic fermionic integral on ℤp.
Taekyun Kim, Kyoung Ho Park, Kyung-won Hwang   +2 more
doaj   +1 more source

Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations [PDF]

, 2008
The superpotential in the Landau-Ginzburg construction of solutions to the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations is modified to include logarithmic terms.
B. Dubrovin, I.A.B. Strachan, I.M. Krichever, I.M. Krichever, Ian A. B. Strachan, J-H. Chang, J-H. Chang, J. Gibbons, J.-B. Zuber, James T. Ferguson, L. David, L.V. Bogdanov, M.V. Feigin, R. Martini, S. Aoyama, S. Aoyama, T. Eguchi   +16 more
core   +2 more sources

Truncated-exponential-based Frobenius–Euler polynomials

Advances in Difference Equations, 2019
In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function.
Wiyada Kumam, Hari Mohan Srivastava, Shahid Ahmad Wani, Serkan Araci, Poom Kumam   +4 more
doaj   +1 more source

On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

Applied Mathematics in Science and Engineering
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan, Ugur Duran, Jihad Younis, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Particle Size Effects on Dynamic Behavior of Heated Spheroidal Particles in Shear Flow

Chemical Engineering &Technology, Volume 49, Issue 3, March 2026.
Understanding the dynamics of nonspherical particles in shear‐driven flows is essential for a wide range of engineering applications. This study examines how confinement ratio, thermal effects, and interparticle interactions influence the migration, equilibrium positions, and rotation of nonspherical particles in such flows.
Farshad Gharibi, Dominique Thévenin
wiley   +1 more source

Some Identities of the Frobenius-Euler Polynomials

Abstract and Applied Analysis, 2009
By using the ordinary fermionic p-adic invariant integral on ℤp, we derive some interesting identities related to the Frobenius-Euler polynomials.
Taekyun Kim, Byungje Lee
doaj   +1 more source

Some new formulas for the products of the Frobenius-Euler polynomials

Advances in Difference Equations, 2017
The main purpose of this paper is, using the generating function methods and summation transform techniques, to establish some new formulas for the products of an arbitrary number of the Frobenius-Euler polynomials and give some illustrative special ...
Dan-Dan Su, Yuan He
doaj   +1 more source