Results 51 to 60 of about 10,794 (206)

A new Riemann–Liouville type fractional derivative operator and its application in generating functions

open access: yesAdvances in Difference Equations, 2018
Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab   +2 more
doaj   +1 more source

The theory of island biogeography and the stability of oceanic reef fish communities

open access: yesJournal of Fish Biology, EarlyView.
Abstract Reef fish assemblages on oceanic islands offer valuable insights into ecological and evolutionary processes, yet their temporal dynamics remain poorly understood. This study evaluates the theory of island biogeography (TIB) with long‐term ecological monitoring to assess how island area, isolation from nearest reef and distance from mainland ...
Esteban Jorcin Nogueira   +3 more
wiley   +1 more source

α-Mellin Transform and One of Its Applications [PDF]

open access: yes, 2012
MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we
Nikolova, Yanka
core  

A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function

open access: yesAbstract and Applied Analysis, 2010
The main object of this paper is to construct a new generating function of the (q-) Bernstein-type polynomials. We establish elementary properties of this function. By using this generating function, we derive recurrence relation and derivative of the (q-
Yilmaz Simsek, Mehmet Acikgoz
doaj   +1 more source

Species‐Specific Vulnerability of Northern Red Sea Mesophotic Corals to Accelerated Warming

open access: yesGlobal Change Biology Communications, Volume 1, Issue 2, June 2026.
Mesophotic reefs are often considered climate refuges, yet experimental thermal‐stress reveals species‐dependent vulnerability. Skeletal optics, energy reserves, and light environment determine bleaching severity. A depth‐generalist coral resisted stress while the mesophotic specialist bleached severely.
Netanel Kramer   +5 more
wiley   +1 more source

Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling

open access: yes, 2016
We consider a simple model for QCD dynamics in which DGLAP integro-differential equation may be solved analytically. This is a gauge model which possesses dominant evolution of gauge boson (gluon) distribution and in which the gauge coupling does not run.
Alvarez, Gustavo   +4 more
core   +1 more source

GKZ hypergeometric systems of the four-loop vacuum Feynman integrals

open access: yesJournal of High Energy Physics
Basing on Mellin-Barnes representations and Miller’s transformation, we present the Gel’fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems of 4-loop vacuum Feynman integrals with arbitrary masses. Through the GKZ hypergeometric systems, the analytical
Hai-Bin Zhang, Tai-Fu Feng
doaj   +1 more source

Definition of a sensory lexicon and development of sensory wheels of eighteen monovarietal Italian white wines

open access: yesJournal of the Science of Food and Agriculture, Volume 106, Issue 6, Page 3745-3759, April 2026.
Abstract BACKGROUND Italy harbors one of the richest grapevine biodiversities worldwide, yet the sensory identity of wines from many native cultivars remains poorly defined despite their relevance on the market at regional, national, or international levels.
Paola Piombino   +17 more
wiley   +1 more source

New Approach to q-Euler Numbers and Polynomials

open access: yesAdvances in Difference Equations, 2010
We give a new construction of the q-extensions of Euler numbers and polynomials. We present new generating functions which are related to the q-Euler numbers and polynomials.
Seog-Hoon Rim   +3 more
doaj   +1 more source

Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$

open access: yesMathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.
Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre   +2 more
wiley   +1 more source

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