Results 41 to 50 of about 2,351,214 (309)
Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients [PDF]
We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
T. Ishkhanyan +2 more
semanticscholar +1 more source
Permanent magnets derive their extraordinary strength from deep, universal electronic‐structure principles that control magnetization, anisotropy, and intrinsic performance. This work uncovers those governing rules, examines modern modeling and AI‐driven discovery methods, identifies critical bottlenecks, and reveals electronic fingerprints shared ...
Prashant Singh
wiley +1 more source
Recurrence relations for modified moments
Véase archivo PDF.
S. Lewanowicz
doaj
Explicit Formulas for Some Infinite 3F2(1)-Series
We establish two recurrence relations for some Clausen’s hypergeometric functions with unit argument. We solve them to give the explicit formulas. Additionally, we use the moments of Ramanujan’s generalized elliptic integrals to obtain these recurrence ...
Kwang-Wu Chen
doaj +1 more source
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III [PDF]
In a previous paper, we presented conjectures of the recurrence relations with constant coefficients for the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
S. Odake
semanticscholar +1 more source
Review of Thin Lithium Metal Battery Anode Fabrication – Microstructure – Electrochemistry Relations
Thin, lightweight lithium‐metal anodes are pivotal for practical high‐energy batteries. This review surveys processing routes that convert diverse Li precursors, e.g., ingots, melts, solutions, and vapor, into Li‐rich foils with controlled thickness, areal density, and tailored functionality.
Yuhang Hu +6 more
wiley +1 more source
Role of the Recombination Zone in Organic Light‐Emitting Devices
This review summarizes the critical role of the recombination zone in organic light‐emitting diodes (OLEDs). We highlight that broadening the recombination zone in OLEDs based on emissive layers with balanced charge transport and high photoluminescence quantum yields provides a promising route toward achieving both long operational lifetime and high ...
Yungui Li, Karl Leo
wiley +1 more source
Hard‐Magnetic Soft Millirobots in Underactuated Systems
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
On a Family of 2-Variable Orthogonal Krawtchouk Polynomials
We give a hypergeometric proof involving a family of 2-variable Krawtchouk polynomials that were obtained earlier by Hoare and Rahman [SIGMA 4 (2008), 089, 18 pages] as a limit of the 9−j symbols of quantum angular momentum theory, and shown to be ...
F. Alberto Grünbaum, Mizan Rahman
doaj +1 more source
New Specific and General Linearization Formulas of Some Classes of Jacobi Polynomials
The main purpose of the current article is to develop new specific and general linearization formulas of some classes of Jacobi polynomials. The basic idea behind the derivation of these formulas is based on reducing the linearization coefficients which ...
Waleed Mohamed Abd-Elhameed, Afnan Ali
doaj +1 more source

