Results 61 to 70 of about 2,863,909 (272)
Some integral properties in the theory of generalized $k-$Bessel matrix functions
Journal of Innovative Applied Mathematics and Computational SciencesThe main purpose of this article is to define some original properties in the theory of the generalized modified $k-$Bessel matrix functions. These special functions, defined in terms of Wright matrix functions, are generalized and their properties ...
Carlo Cattani +2 more
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On transformations of A-hypergeometric functions
Funkcialaj Ekvacioj, 2017 We propose a systematic study of transformations of $A$-hypergeometric functions. Our approach is to apply changes of variables corresponding to automorphisms of toric rings, to Euler-type integral representations of $A$-hypergeometric functions. We show that all linear $A$-hypergeometric transformations arise from symmetries of the corresponding ...
Forsgård, Jens +2 more
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Advanced Science, EarlyView.NSUN2 and m5C decline in URSA villous tissues. Trophoblast Nsun2 ablation disrupts macrophage‐mediated maternal‐fetal tolerance and triggers embryo resorption. Mechanistically, NSUN2‐YBX1 axis stabilizes m5C‐modified TGFB1 mRNA to maintain TGF‐β1 secretion and M2 polarization, and restoring this signaling rescues maternal‐fetal immune tolerance to ...
Xiaoxiao Zhu +10 more
wiley +1 more source
Relations Established Between Hypergeometric Functions and Some Special Number Sequences
AxiomsIn this paper, we establish new hypergeometric representations for two classical integer sequences, namely the Pell and Jacobsthal sequences. Motivated by Dilcher’s hypergeometric formulations of the Fibonacci sequence, we extend this framework to other ...
Sukran Uygun, Berna Aksu, Hulya Aytar
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Incomplete Caputo fractional derivative operators
Advances in Difference Equations, 2018 The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral ...
Mehmet Ali Özarslan, Ceren Ustaoglu
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Hypergeometric functions of type $BC$ and standard multiplicities [PDF]
, 2021 We study the Heckman-Opdam hypergeometric functions associated to a root system of type $BC$ and a multiplicity function which is allowed to assume some non-positive values (a standard multiplicity function).
Pasquale, Angela +6 more
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Computing Hypergeometric Functions Rigorously [PDF]
ACM Transactions on Mathematical Software, 2019 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions 0 F 1 , 1 F 1 , 2 F 1 , and 2 F 0
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Advanced Science, EarlyView.Guided by spatial transcriptomics and clinical validation, a threaded microneedle platform enables precise layer‐specific delivery across the dermis and subcutaneous tissue. By addressing distinct pathogenic remodeling in different skin layers, this strategy coordinates compartment‐specific intervention, restores tissue architecture, and offers a ...
Fangzhou Xie +14 more
wiley +1 more source
Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions
Abstract and Applied Analysis, 2023 Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations ...
Mohamed Niyaz +2 more
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Advanced Science, EarlyView.Glucocorticoids (GC) are widely used to reduce inflammation. We show that the glucocorticoid receptor in myeloid cells regulates macrophage cell cycle and genome integrity during muscle regeneration. We demonstrate that dexamethasone administration during the early inflammatory phase delays muscle repair by increasing macrophage proliferation ...
Sirine Souali‐Crespo +11 more
wiley +1 more source