Results 91 to 100 of about 550,652 (221)

On a generalization of Euler's constant [PDF]

Surveys in Mathematics and its Applications, 2021
A one parameter generalization of Euler's constant γ from [Numer. Algorithms 46(2) (2007) 141--151] is investigated, and additional expressions for γ are derived.
Stephen Kaczkowski
doaj  

Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta distributions [PDF]

arXiv, 2014
In this paper, we give Hurwitz-Lerch zeta distributions with $0 < \sigma \ne 1$ by using the Gamma function. Moreover, we define Hurwitz-Lerch type of Euler-Zagier double zeta distributions not only in the region of absolute convergence but also the outside of the region of absolute convergence.
arxiv  

PDE‐based containment control of linear multi‐agent systems

International Journal of Robust and Nonlinear Control, Volume 35, Issue 3, Page 743-769, February 2025.
Abstract This contribution considers the containment control problem for linear multi‐agent systems (MAS) using continuum models in form of linear parabolic PDEs. For this, a networked controller is designed, that ensures the asymptotic convergence of finite‐dimensional agents into a containment area specified by dynamic leaders. This problem is traced
Joachim Deutscher, Nick Jung
wiley   +1 more source

Remark on the Hurwitz-Lerch zeta function [PDF]

Fixed Point Theory and Applications, 2013
Various generalizations of the Hurwitz-Lerch zeta function have been actively investigated by many authors. Very recently, Srivastava presented a systematic investigation of numerous interesting properties of some families of generating functions and their partial sums which are associated with various classes of the extended Hurwitz-Lerch zeta ...
openaire   +2 more sources

A Generalized Single‐Step Multi‐Stage Time Integration Formulation and Novel Designs With Improved Stability and Accuracy

International Journal for Numerical Methods in Engineering, Volume 126, Issue 2, 30 January 2025.
ABSTRACT This paper focuses upon the single‐step multi‐stage time integration methods for second‐order time‐dependent systems. Firstly, a new and novel generalization of the Runge‐Kutta (RK) and Runge‐Kutta‐Nyström (RKN) methods is proposed, featuring an advanced Butcher table for designing new and optimal algorithms.
Yazhou Wang, Nikolaus A. Adams, Kumar K. Tamma   +2 more
wiley   +1 more source

Jackson's integral of multiple Hurwitz-Lerch zeta functions and multiple gamma functions [PDF]

arXiv, 2014
Using the Jackson integral, we obtain the $q$-integral analogue of the Raabe type formulas for Barnes multiple Hurwitz-Lerch zeta functions and Barnes and Vardi's multiple gamma functions. Our results generalize $q$-integral analogue of the Raabe type formulas for the Hurwitz zeta functions and log gamma functions in [N. Kurokawa, K.
arxiv  

Stochastic distributed tracking of heterogeneous multi‐agent systems with Markovian switching topologies and infinite delays

International Journal of Robust and Nonlinear Control, Volume 35, Issue 1, Page 324-342, 10 January 2025.
Abstract This article investigates the distributed mean square output tracking problem of heterogeneous multi‐agent systems with Markovian switching topologies and infinite transmission delays. The main challenge of the concerned problem arises from how to deal with Markovian switching topologies and infinite transmission delays simultaneously. A novel
Haihua Guo, Gang Feng, Cong Bi
wiley   +1 more source

A Probabilistic Interpretation of the Hurwitz Zeta Function

Advances in Mathematics, 1993
AbstractPresented in a continuous extension of a measure used by Sal Golomb to define a probability on the sample space of natural numbers. The extension is a probability measure which holds several characteristic in common with Golotnb′s measure but on the sel (1, ∞ ).
openaire   +2 more sources

Fixed‐Time Fault‐Tolerant Dynamic Formation Control for Heterogeneous Multi‐Agent Systems With Communication Link Faults for Collaborative Wildfire Monitoring

IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.
The paper proposes a fixed‐time fault‐tolerant dynamic formation control scheme for heterogeneous multi‐agent systems (HMAS) consisting of both uncrewed ground vehicles (UGVs) and uncrewed aerial vehicles (UAVs) to collaboratively monitor wildfires in the presence of actuator faults and communication link faults. It utilizes a fixed‐time extended state
Joewell T. Mawanza
wiley   +1 more source

New inequalities for the Hurwitz zeta function

Proceedings Mathematical Sciences, 2008
We establish various new inequalities for the Hurwitz zeta function. Our results generalize some known results for the polygamma functions to the Hurwitz zeta function.
openaire   +3 more sources