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Hurwitz continued fractions with confluent hypergeometric functions [PDF]
, 2007 summary:Many new types of Hurwitz continued fractions have been studied by the author. In this paper we show that all of these closed forms can be expressed by using confluent hypergeometric functions ${}_0F_1(;c;z)$. In the application we study some new
Komatsu, Takao
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Advanced Science, EarlyView.PTEN knockdown activates AKT phosphorylation, promoting Nrf2 nuclear translocation and STAT3 activation, which upregulates GPX4 and antioxidant enzymes HO‐1, SOD1, SOD2, and NQO1. These coordinated changes reduce lipid peroxidation and ROS, inhibit ferroptosis, and ultimately ameliorate cognitive impairment in APP/PS1 transgenic mice, highlighting a ...
Da‐Wei Wang +5 more
wiley +1 more source
ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS
Проблемы анализа, 2018 We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of their corresponding homogeneous ...
V. A. Gorelov
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Fractal and Fractional, 2020 Our present investigation is mainly based on the k-hypergeometric functions which are constructed by making use of the Pochhammer k-symbol in Diaz et al. 2007, which are one of the vital generalizations of hypergeometric functions.
Övgü Gürel Yılmaz +2 more
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New Zero-Free Regions for Hypergeometric Zeta and Fractional Hypergeometric Zeta Functions
Journal of Mathematics, 2022 We describe and demonstrate zero-free regions for the families called “hypergeometric zeta functions” and “fractional hypergeometric zeta functions”. These zero-free regions are vertical strips in the right half of the complex plane.
Demessie Ergabus Birmechu +1 more
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TH17–Associated Polyamine Metabolism‐Guided Nanozyme Promotes Alveolar Bone Repair in Periodontitis
Advanced Science, EarlyView.A pronounced TH17‐skewed immune response is identified in experimental periodontitis, and enrichment of the polyamine pathway is observed during TH17 differentiation, suggesting its potential as an immunometabolic target. Inspired by these findings, DFMO@Ui‐Mn is developed as a therapeutic platform combining cascade ROS scavenging with immunometabolic ...
Cheng Zhu +12 more
wiley +1 more source
DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
, 2011 Gauss hypergeometric functions with a dihedral monodromy group can be expressed as elementary functions, since their hypergeometric equations can be transformed to Fuchsian equations with cyclic monodromy groups by a quadratic change of the argument ...
Vidunas, Raimundas, Raimundas VIDUNAS
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Properties and Applications of Extended Hypergeometric Functions
Ingeniería y Ciencia, 2014 In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar +2 more
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Recursion formulas for certain quadruple hypergeometric functions
Advances in Difference Equations, 2021 A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors.
Jihad Younis +4 more
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Advanced Science, EarlyView.Lai et al. find that m6A reader YTHDC1 is specifically overexpressed in triple‐negative breast cancer (TNBC) and orchestrates glucose and glutamine metabolism in an m6A‐dependent manner to confer robust adaptability to lethal metabolic stress. Leveraging YTHDC1 knockdown‐induced metabolic vulnerability, an ATF4 mRNA‐targeted nanotherapy is developed to
Zheng‐Hao Lai +12 more
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