Series representations for some mathematical constants
نویسندگان
چکیده
منابع مشابه
Series representations for the Stieltjes constants
The Stieltjes constants γk(a) appear as the coefficients in the regular part of the Laurent expansion of the Hurwitz zeta function ζ(s, a) about s = 1. We present series representations of these constants of interest to theoretical and computational analytic number theory. A particular result gives an addition formula for the Stieltjes constants. As a byproduct, expressions for derivatives of a...
متن کاملTwo-wavelet constants for square integrable representations of G/H
In this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. We establish the orthogonality relations fo...
متن کاملHypergeometric Series and Approximations of Mathematical Constants
I will discuss some identities for generalized hypergeometric series that were discovered quite recently in connection with rational approximations to π, π2 and π4. A curious thing is that most of these identities have “automatic” proofs (using creative telescoping), and a problem is to provide “human” proofs by means of classical hypergeometric summation and transformation formulas. Let me say...
متن کاملtwo-wavelet constants for square integrable representations of g/h
in this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. we establishthe orthogonality relations for square integrable representationsof homogeneous spaces which give rise to the existence of aunique self adjoint positive operator on the set of admissiblewavelets. finally, we show that this operator is a constant multiple of identity operator...
متن کاملMathematical Constants a selection
Basic mathematical constants ... ... and those derived from them Named math constants Other notable math constants Notable integer numbers Notable integer sequences Rational numbers and sequences Geometry constants Number-theoretical functions Other complex-valued functions Constants useful in Sciences Statistics / probability constants Engineering constants Software engineering constants Conve...
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: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.06.059