Results 61 to 70 of about 3,647,357 (169)
Nicotine Reprograms Aging‐Related Metabolism and Protects Against Motor Decline in Mice
Advanced Science, Volume 12, Issue 40, October 27, 2025.Long‐term oral nicotine intake protects against age‐related motor decline in mice without eliciting systemic toxicity. Integrated multi‐organ metabolomic profiling and longitudinal gut microbiota analyses reveal that nicotine induces coordinated remodeling of glycolipid and sphingolipid metabolism, enhances NAD⁺ bioavailability, and suppresses ceramide
Shuhui Jia +29 more
wiley +1 more source
Matrix q-hypergeometric series [PDF]
, 1995 After extending the basic hypergeometric series to series with matrix coefficients, we apply them to the solution of q-difference-q-differential equations, and to the formulation of a versatile tool for producing generating functions and series-product ...
Yang, Kung-Wei
core +1 more source
Special values of the hypergeometric series
, 2017 In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hypergeometric series and the Appell-Lauricella hypergeometric series.
Akihito Ebisu, Ebisu, Akihito
core +1 more source
Symmetry Groups of An Hypergeometric Series [PDF]
, 2014 Structures of symmetries of transformations for Holman–Biedenharn–Louck An hypergeometric series: An terminating balanced 4F3 series and An elliptic 10E9 series are discussed.
Yasushi Kajihara, Kajihara, Y.
core +1 more source
Ramanujan's Radial Limits and Mixed Mock Modular Bilateralq-Hypergeometric Series [PDF]
Proceedings of the Edinburgh Mathematical Society, 2015 AbstractUsing results from Ramanujan's lost notebook, Zudilin recently gave an insightful proof of a radial limit result of Folsomet al.for mock theta functions. Here we see that Mortenson's previous work on the dual nature of Appell–Lerch sums and partial theta functions and on constructing bilateralq-series with mixed mock modular behaviour is well ...
openaire +4 more sources
The generalized Zwegers' $\mu$-function and transformation formulas for the bilateral basic hypergeometric series [PDF]
By applying Slater's transformation formulas for the bilateral basic hypergeometric series ${}_2\psi_{2}$, we derive three type translation formulas for the generalized Zwegers' $\mu$-function (``continuous $q$-Hermite function'') which was introduced by
Shibukawa, Genki, Tsuchimi, Satoshi
core
Summation formulae for elliptic hypergeometric series
, 2005 Several new identities for elliptic hypergeometric series are proved. Remarkably, some of these are elliptic analogues of identities for basic hypergeometric series that are balanced but not very-well ...
Warnaar, S. O.
core +1 more source
Asymptotic formulae of two divergent bilateral basic hypergeometric series
, 2016 We provide new formulae for the degenerations of the bilateral basic hypergeometric function ${}_1ψ_1 ( a; b; q, z )$ with using the $q$-Borel-Laplace transformation. These are thought of as the first step to construct connection formulae of $q$-difference equation for ${}_1ψ_1 ( a; b; q, z )$. Moreover, we show that our formulae have the $q \to 1 - 0$
Mori, Hironori, Morita, Takeshi
openaire +2 more sources
Several transformation formulas involving bilateral basic hypergeometric series
, 2019 In terms of the analytic continuation method, we prove three transformation formulas involving bilateral basic hypergeometric series. One of them is equivalent to Jouhet's result involving two $_8ψ_8$ series and two $_8ϕ_7$ series.
Wei, Chuanan, Yu, Tong
openaire +2 more sources
Expansion of hypergeometric functions in series of other hypergeometric functions
, 1961 In a previous paper [1] one of us developed an expansion for the confluent hypergeometric function in series of Bessel functions. A different expansion of the same kind given by Buchholz [2] was also studied.
Yudell L. Luke, Richard L. Coleman
core +1 more source