Results 101 to 110 of about 52,376 (308)

Eichler Maps and Hyperbolic Fourier Expansion [PDF]

open access: yesNagoya Mathematical Journal, 1970
In his lecture notes ([1, pp. 33-35], [2, pp. 145-152]), M. Eichler reduced ‘quadratic’ Hilbert modular forms of dimension —k {k is a positive integer) to holomorphic automorphic forms of dimension — 2k for the reproduced groups of indefinite ternary quadratic forms, by means of so-called Eichler maps.
openaire   +3 more sources

Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications

open access: yes, 2018
In the present paper, we find the Fourier expansion of the Apostol Frobenius-Euler polynomials. By using a Fourier expansion of the Apostol Frobenius-Euler polynomials, we derive some new and interesting ...
Araci, Serkan   +3 more
core   +1 more source

Ultrasmall High‐Entropy Materials: Nanoscale Effects, Synthesis, and Mechanistic Insights

open access: yesAdvanced Functional Materials, EarlyView.
This review article focuses on sub‐10 nm high‐entropy materials that combine nanoscale design with complex compositions for next‐generation applications. ABSTRACT Ultrasmall high‐entropy nanomaterials (USHENMs, <10 nm) merge multicomponent chemistry with size‐dependent effects, forming a distinct class of materials with unprecedented properties.
Yueyue He   +5 more
wiley   +1 more source

Robust Sliding Mode Control of Robot Manipulators Using the Fourier Series Expansion in the Presence of Uncertainty

open access: yesمهندسی مخابرات جنوب
In this paper, a robust dynamic slip mode controller for an electrical robot manipulator is presented. The control law calculates the motor voltage based on the voltage control strategy.
Abdullah Hadipoor   +2 more
doaj  

Modeling and analysis of waves in a heat conducting thermo-elastic plate of elliptical shape

open access: yesLatin American Journal of Solids and Structures
Wave propagation in heat conducting thermo elastic plate of elliptical cross-section is studied using the Fourier expansion collocation method based on Suhubi's generalized theory.
R. Selvamani, P. Ponnusamy
doaj   +1 more source

Wave propagation in a rotating disc of polygonal cross-section immersed in an inviscid fluid

open access: yesCogent Engineering, 2015
In this paper, the wave propagation in a rotating disc of polygonal cross-section immersed in an inviscid fluid is studied using the Fourier expansion collocation method.
R. Selvamani
doaj   +1 more source

Sums of finite products of Genocchi functions

open access: yesAdvances in Difference Equations, 2017
In a previous work, it was shown that Faber-Pandharipande-Zagier and Miki’s identities can be derived from a polynomial identity which in turn follows from a Fourier series expansion of sums of products of Bernoulli functions.
Taekyun Kim   +3 more
doaj   +1 more source

The Bessel Expansion of Fourier Integral on Finite Interval

open access: yes, 2019
In this paper, we further extend the Filon-type method to the Bessel function expansion for calculating Fourier integral. By means of complex analysis, this expansion is effective for all the oscillation frequencies.
Zhenyu Zhao, Yongxiong Zhou
core   +1 more source

A Dual‐Functional Electrolyte Additive for Highly Reversible Zinc‐Ion Batteries

open access: yesAdvanced Functional Materials, EarlyView.
This study introduces tetrabutylammonium bromide (TBAB) as a dual‐function additive for aqueous zinc‐ion batteries. TBAB disrupts the hydrogen‐bond network of water while TBA+ adsorbs on Zn to improve interfacial wettability and regulate Zn2+ flux, resulting in suppressed dendrite growth and parasitic reactions. This synergy extended the lifespan of Zn|
Shirui Zhang   +9 more
wiley   +1 more source

Optimization of the Excitation signal for a novel piezoelectric micro-jet

open access: yesMATEC Web of Conferences, 2016
Fourier series expansions of different excitation signals for a novel piezoelectric micro-jet is deducted in this paper. By comparison and analysis of the Fourier series expansions, we find that the motivational effect of square wave is preferable than ...
Li Kai   +3 more
doaj   +1 more source

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