Results 21 to 30 of about 29,990 (187)
q-Calculus as operational algebra; pp. 73–97 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354â374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
doaj +1 more source
Multiple zeta values and the WKB method [PDF]
, 2013 The multiple zeta values ζ(d1, . . . , dr ) are natural generalizations of the values ζ(d) of the Riemann zeta functions at integers d. They have many applications, e.g. in knot theory and in quantum physics.
Zakrzewski, Michał, Żołądek, Henryk
core +1 more source
Some Remarks on Very-Well-Poised 8ϕ7 Series
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operator are known to be expressible as very-well-poised 8ϕ7 series.
Jasper V. Stokman
doaj +1 more source
On generalization of continued fraction of Gauss
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper we establish a continued fraction represetation for the ratio qf two basic bilateral hypergeometric series 2ψ2's which generalize Gauss' continued fraction for the ratio of two 2F1's.
Remy Y. Denis
doaj +1 more source
Elementary derivations of identities for bilateral basic hypergeometric series
, 2000 We give elementary derivations of several classical and some new summation and transformation formulae for bilateral basic hypergeometric series. For purpose of motivation, we review our previous simple proof ("A simple proof of Bailey's very-well-poised
Schlosser, M.
core +1 more source
On a New Summation Formula for 𝟐𝜓𝟐 Basic Bilateral Hypergeometric Series and Its Applications
International Journal of Mathematics and Mathematical Sciences, 2011 We have obtained a new summation formula for 2𝜓2 bilateral basic hypergeometric series by the method of parameter augmentation and demonstrated its various uses leading to some development of etafunctions, 𝑞-gamma, and 𝑞-beta function identities.
D. D. Somashekara +2 more
doaj +1 more source
Mathematics, 2020 This contribution deals with the sequence {Un(a)(x;q,j)}n≥0 of monic polynomials in x, orthogonal with respect to a Sobolev-type inner product related to the Al-Salam–Carlitz I orthogonal polynomials, and involving an arbitrary number j of q-derivatives ...
Carlos Hermoso +3 more
doaj +1 more source
A multipoint conformal block chain in d dimensions
Journal of High Energy Physics, 2020 Conformal blocks play a central role in CFTs as the basic, theory-independent building blocks. However, only limited results are available concerning multipoint blocks associated with the global conformal group.
Sarthak Parikh
doaj +1 more source
Mock Jacobi forms in basic hypergeometric series
, 2008 We show that some $q$-series such as universal mock theta functions are linear sums of theta quotients and mock Jacobi forms of weight 1/2, which become holomorphic parts of real analytic modular forms when they are restricted to torsion points and ...
Andrews +4 more
core +1 more source
Paternal Circadian Disruption Impairs Offspring Cognition via Sperm microRNAs
Advanced Science, EarlyView.Paternal circadian disruption remodels the sperm small RNA payload, elevating miR‐92a‐3p/miR‐25‐3p levels and perturbing early embryonic gene regulatory programs. Microinjection experiments and single‐embryo transcriptomics reveal sex‐specific developmental vulnerabilities, ultimately impairing offspring hippocampal synaptic plasticity and cognition ...
Kexin Zou +22 more
wiley +1 more source