Results 51 to 60 of about 2,433,680 (345)

A Study of the Second-Kind Multivariate Pseudo-Chebyshev Functions of Fractional Degree

Mathematics, 2020
Here, in this paper, the second-kind multivariate pseudo-Chebyshev functions of fractional degree are introduced by using the Dunford–Taylor integral.
Paolo Emilio Ricci, Rekha Srivastava
doaj   +1 more source

Self-dual Koornwinder-Macdonald polynomials

, 1995
We prove certain duality properties and present recurrence relations for a four-parameter family of self-dual Koornwinder-Macdonald polynomials. The recurrence relations are used to verify Macdonald's normalization conjectures for these polynomials ...
van Diejen, Jan F.
core   +3 more sources

Extending the Applicability of a Two-Step Chord-Type Method for Non-Differentiable Operators

Mathematics, 2019
The semi-local convergence analysis of a well defined and efficient two-step Chord-type method in Banach spaces is presented in this study. The recurrence relation technique is used under some weak assumptions.
Ioannis K. Argyros, Neha Gupta, J. P. Jaiswal   +2 more
doaj   +1 more source

Review of Coherent Anti‐Stokes Raman Scattering Nonresonant Background Removal and Phase Retrieval Approaches: From Experimental Methods to Deep Learning Algorithms

Advanced Photonics Research, EarlyView.
Coherent anti‐stokes Raman spectroscopy (CARS) enables high‐resolution vibrational imaging, yet non‐resonant background (NRB) distorts spectral fidelity. This review highlights NRB removal methods—from experimental strategies and numerical algorithms to emerging deep learning techniques.
Rajendhar Junjuri, Thomas Bocklitz
wiley   +1 more source

Identities in the spirit of Euler

Extracta Mathematicae, 2020
In this paper we develop new identities in the spirit of Euler. We shall investigate and report on new Euler identities of weight p + 2, for p an odd integer, but with a non unitary argument of the harmonic numbers.
A. Sofo
doaj  

On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers

Annales Mathematicae Silesianae, 2019
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
doaj   +1 more source

PED and POD partitions: Combinatorial proofs of recurrence relations [PDF]

Discrete Mathematics, 2023
C. Ballantine, Amanda Welch
semanticscholar   +1 more source

Relativistic Kramers-Pasternack Recurrence Relations

, 2009
Recently we have evaluated the matrix elements $$,$ where $O$ $={1,\beta, i\mathbf{\alpha n}\beta} $ are the standard Dirac matrix operators and the angular brackets denote the quantum-mechanical average for the relativistic Coulomb problem, in terms of ...
Andrae D, Askey R A, Atakishyev N M, Bailey W N, Baz A I, Bethe H A, Blanchard P, Cordero-Soto R Suslov S K, Ding Yi-B, Erdélyi A, Gumberidze A, Karlin S, Karshenboim S G, Karshenboim S G, Koekoek R Swarttouw R F, Kramers H A, Kramers H A, Landau L D, Liboff R L, Messiah A, More R M, Moreno B, Nikiforov A F, Nikiforov A F, Núñez-Yépez H N, Ojha P C, Pasternack S, Perelomov A M, Qiang W-C, Sergei K Suslov, Shabaev V M, Shabaev V M, Shabaev V M, Shabaev V M, Shabaev V M, Suslov S K, Swainson R A, Tchebychef P L, Tchebychef P L, Tchebychef P L, Tchebychef P L, Tchebychef P L, Tchebychef P L   +42 more
core   +1 more source

The Role of CAF‐derived Vitronectin in Promoting Colorectal Cancer Progression and Immunosuppression

Advanced Science, EarlyView.
Cancer‐associated fibroblast (CAF)‐derived VTN upregulates SLC6A8 expression in colorectal cancer (CRC) cells and macrophages through enhanced FAK phosphorylation. This modulation significantly increases the cellular uptake of creatine and ATP, promoting cancer progression and macrophage polarization.
Jiahua Yu, Mengxi Xiu, Shijun Yu, Zhiqin Chen, Yandong Li, Yong Gao   +5 more
wiley   +1 more source

Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients [PDF]

Advances in High Energy Physics, 2014
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, T. A. Shahverdyan, A. Ishkhanyan   +2 more
semanticscholar   +1 more source