Zeta Functions, Heat Kernel Expansions, and Asymptotics for q-Bessel Functions
نویسندگان
چکیده
منابع مشابه
Asymptotics of basic Bessel functions and q-Laguerre polynomials
We establish a large n complete asymptotic expansion for q-Laguerre polynomials and a complete asymptotic expansion for a q-Bessel function of large argument. These expansions are needed in our study of an exactly solvable random transfer matrix model for disordered electronic systems. We also give a new derivation of an asymptotic formula due to Littlewood (1907).
متن کاملStochastic Taylor expansions and heat kernel asymptotics
3 Stochastic Taylor expansions 5 3.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.2 Chen series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.3 Brownian Chen series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.4 Exponential of a vector field . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.5 Li...
متن کاملQuasi-orthogonal expansions for functions in BMO
For {φ_n(x)}, x ε [0,1] an orthonormalsystem of uniformly bounded functions, ||φ_n||_{∞}≤ M
متن کاملStringy Zeta Functions for Q–gorenstein Varieties
The stringy Euler number and stringy E–function are interesting invariants of log terminal singularities, introduced by Batyrev. He used them to formulate a topological mirror symmetry test for pairs of certain Calabi–Yau varieties, and to show a version of the McKay correspondence. It is a natural question whether one can extend these invariants beyond the log terminal case. Assuming the Minim...
متن کاملContinued fraction expansions for q-tangent and q-cotangent functions
1 Philippe Flajolet and continued fractions In a paper that was written on the occasion of Philippe Flajolet’s 50th birthday [26] and discussed his various research areas, we wrote about his contributions to continued fractions: Continued fractions The papers [8, 9, 10] deal with the interplay of continued fractions and combinatorics. Let us consider lattice paths, consisting of steps NORTHEAST...
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: Journal of Mathematical Analysis and Applications
سال: 1995
ISSN: 0022-247X
DOI: 10.1006/jmaa.1995.1453