Results 51 to 60 of about 5,223,805 (173)

A Review of Certain Modern Special Functions and Their Applications

open access: yesAbstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric functions.
Hala Abd Elmageed   +2 more
wiley   +1 more source

Wijsman Statistical, Strong Cesàro, and Ideal Convergence of Closed Sets in Idempotent Bicomplex Metric Spaces

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper studies generalized Wijsman convergence for sequences of nonempty closed subsets of an idempotent bicomplex metric space. Let ρ = d1e1 + d2e2, where d1 and d2 are metrics on the same underlying set X. For a nonempty subset A of X, we define the bicomplex point‐to‐set distance by ρ(x, A) = d1(x, A)e1 + d2(x, A)e2.
Ameni Gargouri   +4 more
wiley   +1 more source

Explicit height estimates for CM curves of genus 2

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey   +2 more
wiley   +1 more source

The Cotangent Function as an Avatar of the Polylogarithm Function of Order 0 and Ramanujan’s Formula

open access: yesAxioms
In this paper we will be concerned with zeta-symmetry—the functional equation for the (Riemann) zeta-function (equivalents to which are called modular relations)—and reveal the reason why so many results are intrinsic to PFE (Partial Fraction Expansion ...
Ruiyang Li   +2 more
doaj   +1 more source

On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

open access: yesContributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias   +2 more
wiley   +1 more source

On the mean square of the Lerch zeta-function

open access: yesLietuvos Matematikos Rinkinys, 1999
There is not abstract.
Antanas Laurinčikas
doaj   +3 more sources

Mobility patterns in Austrian and Italian municipalities in the decade before and during the COVID‐19 era

open access: yesPopulation, Space and Place, Volume 31, Issue 1, January 2025.
Abstract In European countries, where the demographic transition has reached advanced stages and the natural increase has fallen below zero, migration constitutes a significant component of local population change. We investigate to what extent the dynamics of international migration and internal mobility changed during the first waves of the COVID‐19 ...
Daniela Ghio, Anne Goujon, Claudio Bosco
wiley   +1 more source

The Lerch zeta function IV. Hecke operators

open access: yesResearch in the Mathematical Sciences, 2016
This paper studies algebraic and analytic structures associated with the Lerch zeta function. It defines a family of two-variable Hecke operators $\{ T_m: \, m \ge 1\}$ given by $T_m(f)(a, c) = \frac{1}{m} \sum_{k=0}^{m-1} f(\frac{a+k}{m}, mc)$ acting on certain spaces of real-analytic functions, including Lerch zeta functions for various parameter ...
Lagarias, Jeffrey C.   +1 more
openaire   +3 more sources

Designing a Resilient Controller for Cancer Immunotherapy: Application to a Fractional‐Order Tumour‐Immune Model

open access: yesIET Systems Biology, Volume 19, Issue 1, January/December 2025.
In this paper, we propose a robust control method for the automatic treatment of targeted anti‐angiogenic molecular therapy based on multi‐input multi‐output (MIMO) nonlinear fractional and non‐fractional models using the backstepping (BS) approach.
Mohamadreza Homayounzade   +1 more
wiley   +1 more source

UEG Week 2025 Poster Presentations [PDF]

open access: yesUnited European Gastroenterol J
United European Gastroenterology Journal, Volume 13, Issue S8, Page S803-S1476, October 2025.
europepmc   +2 more sources

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