Results 41 to 50 of about 552,780 (265)

Theta and Riemann xi function representations from harmonic oscillator eigensolutions

, 2006
From eigensolutions of the harmonic oscillator or Kepler-Coulomb Hamiltonian we extend the functional equation for the Riemann zeta function and develop integral representations for the Riemann xi function that is the completed classical zeta function. A
Abramowitz, Andrews, Atakishiyeva, Bump, Bump, Cartier, Coffey, Coffey, Coffey, Dykman, Edwards, Freilikher, Gradshteyn, Horikis, Keating, Kostelecký, Kurlberg, Lambert, Lebedev, Mark W. Coffey, Mehta, Nieto, Nieto, Platzman, Titchmarsh, Weyl   +25 more
core   +1 more source

A weighted version of the Mishou theorem

Mathematical Modelling and Analysis, 2021
In 2007, H. Mishou obtained a joint universality theorem for the Riemann and Hurwitz zeta-functions ζ(s) and ζ(s,α) with transcendental parameter α on the approximation of a pair of analytic functions by shifts (ζ(s+iτ),ζ(s+iτ,α)), τ ∈R.
Antanas Laurinčikas, Darius Šiaučiūnas, Gediminas Vadeikis   +2 more
doaj   +1 more source

Multiple finite Riemann zeta functions

, 2004
Observing a multiple version of the divisor function we introduce a new zeta function which we call a multiple finite Riemann zeta function. We utilize some $q$-series identity for proving the zeta function has an Euler product and then, describe the ...
Kimoto, K., Kurokawa, N., Matsumoto, S., Wakayama, M.   +3 more
core   +1 more source

Finite-part integral representation of the Riemann zeta function at odd positive integers and consequent representations [PDF]

arXiv, 2022
The values of the Riemann zeta function at odd positive integers, $\zeta(2n+1)$, are shown to admit a representation proportional to the finite-part of the divergent integral $\int_0^{\infty} t^{-2n-1} \operatorname{csch}t\,\mathrm{d}t$. Integral representations for $\zeta(2n+1)$ are then deduced from the finite-part integral representation.
arxiv  

An In-Depth Investigation of the Riemann Zeta Function Using Infinite Numbers

Mathematics
This study focuses on an in-depth investigation of the Riemann zeta function. For this purpose, infinite numbers and rotational infinite numbers, which have been introduced in previous studies published by the author, are used.
Emmanuel Thalassinakis
doaj   +1 more source

Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function

Mathematics, 2021
Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim, Khalifa Al-Shaqsi, Maslina Darus, Hiba Fawzi Al-Janaby   +3 more
doaj   +1 more source

Weighted discrete universality of the Riemann zeta-function

Mathematical Modelling and Analysis, 2020
It is well known that the Riemann zeta-function is universal in the Voronin sense, i.e., its shifts ζ(s + iτ), τ ∈ R, approximate a wide class of analytic functions. The universality of ζ(s) is called discrete if τ take values from a certain discrete set.
Antanas Laurinčikas, Darius Šiaučiūnas, Gediminas Vadeikis   +2 more
doaj   +1 more source

Approximation of Analytic Functions by Shifts of Certain Compositions

Mathematics, 2021
In the paper, we obtain universality theorems for compositions of some classes of operators in multidimensional space of analytic functions with a collection of periodic zeta-functions.
Darius Šiaučiūnas, Raivydas Šimėnas, Monika Tekorė   +2 more
doaj   +1 more source

Solar Energy Storage Optimization Using Fractional Derivative Simulations of Maxwell Hybrid Nanofluid Flow: Entropy Generation Analysis

Energy Science &Engineering, EarlyView.
ABSTRACT This attempt examines the heat transfer enhancement from unsteady bioconvective Maxwell nanofluid flow under the incidence of solar radiation influenced by viscous dissipation and chemical reaction through a porous medium. The nanofluid contains silver and titanium alloy hybrid nanoparticles with gyrotactic micro‐organisms in ethylene glycol ...
Bhupendra K. Sharma, Anup Kumar, Madhu Sharma, Bandar Almohsen, Nehad Ali Shah   +4 more
wiley   +1 more source

Non‐Hydrostatic Model for Simulating Moving Bottom‐Generated Waves: A Shallow Water Extension With Quadratic Vertical Pressure Profile

International Journal for Numerical Methods in Fluids, EarlyView.
In this article, we derive a non‐hydrostatic extension to the SWE to solve bottom‐generated waves along with its pressure relation. This relation is built on a linear vertical velocity assumption, leading us to a quadratic pressure profile, where we alternatively write it so that we can solve it by a projection method without ambiguity due to the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source