Relations between kindred Riemannian $P$ and $Q$ functions
نویسندگان
چکیده
منابع مشابه
(P, Q)-Special Functions
It is suggested that the (p, q)-hypergeometric series studied by Burban and Klimyk (in Integral Transforms and Special Functions 2 (1994) 15-36) can be considered as a special case of a more general (P, Q)-hypergeometric series. 1. Introduction I propose a general (P, Q)-hypergeometric series. In this, I am inspired mainly by the paper of Burban and Klimyk [1] titled " P, Q-differentiation, P, ...
متن کاملRelations Between Polarized Structure Functions
The status of the twist–2 and the twist–3 integral relations between polarized structure functions in deep inelastic scattering is discussed. The relations can be tested in the upcoming experiments in the range Q ∼ > M 2 p . Contribution to the Proceedings of the Workshop on Polarized Protons at High Energies – Accelerator Challenges and Physics Opportunities, DESY, May 1999, eds. D. Barber, A....
متن کاملLOCAL GRADIENT ESTIMATE FOR p-HARMONIC FUNCTIONS ON RIEMANNIAN MANIFOLDS
For positive p-harmonic functions on Riemannian manifolds, we derive a gradient estimate and Harnack inequality with constants depending only on the lower bound of the Ricci curvature, the dimension n, p and the radius of the ball on which the function is de ned. Our approach is based on a careful application of the Moser iteration technique and is di¤erent from Cheng-Yaus method [2] employed ...
متن کاملq[t], Their Period Interpretation, and Relations between Them
The multizeta values introduced and studied originally by Euler have been pursued again recently with renewed interest because of their emergence in studies in mathematics and mathematical physics connecting diverse viewpoints. They occur naturally as coefficients of the Drinfeld associator, and thus have connections to quantum groups, knot invariants, and mathematical physics. They also occur ...
متن کاملOn p-adic q-L-functions and sums of powers
Let p be a fixed prime. Throughout this paper Zp, Qp, C and Cp will, respectively, denote the ring of p-adic rational integers, the field of p-adic rational numbers, the complex number field and the completion of algebraic closure of Qp, cf.[1, 4, 6, 10]. Let vp be the normalized exponential valuation of Cp with |p|p = p −vp(p) = p. When one talks of q-extension, q is variously considered as an...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1923
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1923-03694-x