CERTAIN GENERATING FUNCTIONS OF GENERALISED HYPERGEOMETRIC 2D POLYNOMIALS FROM LIE-GROUP THEORETIC POINT OF VIEW [PDF]
, 2017 P. L. Rama Kameswari, V. S. Bhagavan
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A New Generating Function for Hermite Polynomials [PDF]
, 2023 Manouchehr Amiri
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Applying the Moment Generating Functions to the Study of Probability Distributions [PDF]
In this paper, we describe a tool to aid in proving theorems about random variables, called the moment generating function, which converts problems about probabilities and expectations into problems from calculus about function values and derivates.
Silvia SPATARU
core
Deep Generalized Green's Function
Journal of Computational PhysicsIn this study, we address the challenge of obtaining a Green's function operator for linear partial differential equations (PDEs). The Green's function is well-sought after due to its ability to directly map inputs to solutions, bypassing the need for common numerical methods such as finite difference and finite elements methods.
Rixi Peng +4 more
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Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
FEBS Letters, EarlyView.Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
wiley +1 more source
Symbolic computation of Appell polynomials using Maple
Electronic Journal of Differential Equations, 2001 This work focuses on the symbolic computation of Appell polynomials using the computer algebra system Maple. After describing the traditional approach of constructing Appell polynomials, the paper examines the operator method of constructing the same ...
H. Alkahby +3 more
doaj
Generating functions for permutations which avoid consecutive patterns with multiple descents [PDF]
, 2017 Quang T. Bach, Jeffrey B. Remmel
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
wiley +1 more source
The total number of descents and levels in (cyclic) tensor words [PDF]
Discrete Mathematics LettersSela Fried, Toufik Mansour
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Generating functions for monomial characters of wreath products ℤ/dℤ≀ 𝕾_n [PDF]
Enumerative Combinatorics and Applications, 2021 Mark Skandera
doaj