Results 11 to 20 of about 69 (59)
Unification of Two‐Variable Family of Apostol‐Type Polynomials with Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, the two‐variable unified family of generalized Apostol‐type polynomials is introduced, and some implicit forms and general symmetry identities are derived. Also, we obtain new degenerate Apostol‐type numbers and polynomials constructed from the new 2‐variable unified family.
Beih S. El-Desouky +3 more
wiley +1 more source
A Note on the Poly‐Bernoulli Polynomials of the Second Kind
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, we define the poly‐Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials. In addition, we define unipoly‐Bernoulli polynomials of the second kind and study some properties of those polynomials.
Sang Jo Yun, Jin-Woo Park, Serkan Araci
wiley +1 more source
Non-canonical extension of theta-functions and modular integrability of theta-constants
, 2013 This is an extended (factor 2.5) version of arXiv:math/0601371 and arXiv:0808.3486. We present new results in the theory of the classical $\theta$-functions of Jacobi: series expansions and defining ordinary differential equations (\odes).
Brezhnev, Yurii V.
core +1 more source
The normalized matrix perturbation method [PDF]
, 2020 In 1926, Schrodinger supplied the theoretical basis for analyzing the time evolution of a quantum system through his famous equation that now bears his name. Soon after its advent, an intrinsic interest emerged to get exactly solvable models by using the
Braulio M. Villegas Martínez
core
Descriptive characterisation of the variational Henstock-Kurzweil-Stieltjes integral and applications [PDF]
, 2014 We derive a descriptive characterisation of the vector-valued variational Henstock-Kurzweil-Stieltjes integral extending and improving previous results. We also give several applications of our characterisation, e.g., to the recover of a function from a ...
Hoffmann, Heiko
core +2 more sources
Explicit relations for the modified degenerate Apostol-type polynomials
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 Recently, the degenerate Bernoulli numbers and polynomials and the degenerate Euler numbers and polynomials have been studied by several authors. In this paper, we consider the modified Apostol-Bernoulli polynomials and the modified Apostol-Euler polynomials.
openaire +3 more sources
Concentration of the roots for the Kac polynomials
, 2020 In this paper we study how the roots of the so-called Kac polynomial $W_n(z) = \sum_{k=0}^{n-1} \xi_k z^k$ are concentrating to the unit circle when its the coefficients of $W_n$ are independent and identically distributed non-degenerate real random ...
Barrera, Gerardo, Manrique, Paulo
core
Stochastic Image Reconstruction as Ground State of Hamiltonian Operators [PDF]
, 2006 A new image processing method is introduced. This method (called stochastic image reconstruction) is based on a well known phenomenon from quantum theory.
Dejon, Alexander
core
Moving mesh methods for solving parabolic partial differential equations [PDF]
, 2010 In this thesis, we introduce and assess a new adaptive method for solving non-linear parabolic partial differential equations with fixed or moving boundaries, using a moving mesh with continuous finite elements.
Marlow, Robert
core +1 more source
Mathematical Methods for 4d N=2 QFTs [PDF]
, 2018 In this work we study different aspects of 4d N = 2 superconformal field theories. Not only we accurately define what we mean by a 4d N = 2 superconformal field theory, but we also invent and apply new mathematical methods to classify these theories and ...
Caorsi, Matteo
core