منابع مشابه
TWO IDENTITIES FOR MULTIPLE HARMONIC q-SERIES
Abstract. We define two finite q-analogs of certain multiple harmonic series with an arbitrary number of free parameters, and prove identities for these q-analogs, expressing them in terms of multiply nested sums involving the Gaussian binomial coefficients. Special cases of these identities—for example, with all parameters equal to 1—have occurred in the literature. The special case with only ...
متن کاملFrobenius partition theoretic interpretations of some basic series identities
Using generalized Frobenius partitions we interpret five basic series identities of Rogers combinatorially. This extends the recent work of Goyal and Agarwal and yields five new 3-way combinatorial identities.
متن کاملAlgorithms for Some Euler-Type Identities for Multiple Zeta Values
. . . , s k are positive integers with s 1 > 1. For k ≤ n, let E(2n, k) be the sum of all multiple zeta values with even arguments whose weight is 2n and whose depth is k. The well-known result E(2n, 2) = 3ζ(2n)/4was extended to E(2n, 3) and E(2n, 4) by Z. Shen and T. Cai. Applying the theory of symmetric functions, Hoffman gave an explicit generating function for the numbers E(2n, k) and then ...
متن کاملMultiple Stirling Number Identities
A remarkable multiple analogue of the Stirling numbers of the first and second kind was recently constructed by the author. Certain summation identities, and related properties of this family of multiple special numbers are investigated in the present paper.
متن کاملSome Identities for Chandrasekhar Polynomials
Basic techniques of linear algebra are used to derive some identities involving the Chandrasekhar polynomials that play a vital role in the spherical-harmonics (A) solution to basic radiative-transfer problems. @ 1997 Elsevier Science Ltd. All rights reserved
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: Computers & Mathematics with Applications
سال: 1994
ISSN: 0898-1221
DOI: 10.1016/0898-1221(94)00123-5