Results 81 to 90 of about 5,521 (197)
ON BILATERAL BASIC HYPERGEOMETRIC SERIES AND CONTINUED FRACTIONS
International Journal of Apllied Mathematics, 2013 Summary: This article deals with the derivation of continued fraction involving bilateral basic hypergeometric series by making use of known three term relations and other known results of R. P. Agarwal.
Srivastava, Pankaj +1 more
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On Convergence of
Journal of Inequalities and Applications, 2009 We use inequality technique and the terminating case of the -binomial formula to give some results on convergence of -series involving basic hypergeometric series.
Zhao Xilai, Wang Mingjin
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Nonsymmetric interpolation macdonald polynomials and gl_n basic hypergeometric series [PDF]
, 2009 The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polynomials to study a new type of basic hypergeometric ...
Lascoux, Alain +2 more
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The q-Borel Sum of Divergent Basic Hypergeometric Series ᵣφₛ(a; b; q, x)
, 2019 We study the divergent basic hypergeometric series, which is a q-analog of divergent hypergeometric series. This series formally satisfies the linear q-difference equation.
Adachi, S.
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Contiguous relations of hypergeometric series
, 2003 The 15 Gauss contiguous relations for 2F1 hypergeometric series imply that any three 2F1 series whose corresponding parameters differ by integers are linearly related (over the field of rational functions in the parameters).
Vidūnas, Raimundas, Vidûnas, R.
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Nonsymmetric interpolation Macdonald polynomials and g_n basic hypergeometric series
, 2009 30 pagesInternational audienceThe Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polynomials to study a new type
Lascoux, Alain +2 more
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A note on certain classes of multivariable q-series transformations
Le Matematiche, 2010 The present note envisage to derive some new classes of multiple q-series transformations and reduction formulae. Special cases in terms ofthe known and new results are also derived.
Sunil Dutt Purohit, Rajendra Kumar Yadav
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Two types of series expansions valid at strong coupling
Journal of High Energy PhysicsIt is known that perturbative expansions in powers of the coupling in quantum mechanics (QM) and quantum field theory (QFT) are asymptotic series. This can be useful at weak coupling but fails at strong coupling.
Ariel Edery
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A Bilateral Series Involving Basic Hypergeometric Functions [PDF]
, 2005 We prove a summation formula for a bilateral series whose terms are products of two basic hypergeometric functions. In special cases, series of this type arise as matrix elements of quantum group representations.
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