Asymptotic Expansions for q-Gamma, q-Exponential, and q-Bessel Functions
نویسندگان
چکیده
منابع مشابه
Continued 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 کاملSteep polyominoes, q-Motzkin numbers and q-Bessel functions
We introduce three deenitions of the q-analogs of Motzkin numbers and illustrate some combinatorial interpretations of these q-numbers. We relate the rst class of q-numbers to the steep parallelogram polyominoes' generating function according to their width, perimeter and area. We show that this generating function is the quotient of two q-Bessel functions. The second class of q-Motzkin numbers...
متن کاملq-Sumudu Transforms of q-Analogues of Bessel Functions
The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q-Sumudu transforms to the solutions of the q-integrodifferential equations involving q-Bessel functions. The results may help to extend the q-theory of orthogona...
متن کاملSome inequalities for the q-beta and the q-gamma functions via some q-integral inequalities
Some new inequalities for the q-gamma, the q-beta and the q-analogue of the Psi functions are established via some q-integral inequalities. In classical analysis, integral inequalities have been well-developed and leading to a wide variety of applications in mathematics and physics (see [11–13] and references therein). In a survey paper [4], Dragomir et al. used certain clever integral inequali...
متن کاملPOINTWISE CONVERGENT EXPANSIONS IN q-FOURIER-BESSEL SERIES
Abstract: We define q-analogues of Fourier-Bessel series, by means of complete qorthogonal systems constructed with the third Jackson q-Bessel function. Sufficient conditions for pointwise convergence of these series are obtained, in terms of a general convergence principle valid for other Fourier series on grids defined over numerable sets. The results are illustrated with specific examples of...
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: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1339