共查询到20条相似文献,搜索用时 8 毫秒
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《Indagationes Mathematicae (Proceedings)》1982,85(3):289-293
Several integral representations of Euler's type for the generalized Horn functions (k)H3(n) and (k)H4(n) are given; and quadratic transformations expressing these as FD(n) and FA(n), respectively, are derived. Moreover, a reduction formula expressing (k)H3(n) in terms of (1)H3(n) is given. 相似文献
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I. J. Schoenberg 《Israel Journal of Mathematics》1971,10(3):364-372
In 1936 the author showed that the function sin(π(x+1)/4) is the entire function of least exponential type (=π/4) among all entire functionsf(z) with the property thatf
(n)(z) vanishes somewhere in the real interval [−1, 1] (n=0, 1,2,…). Now more precise results of this kind are obtained by working within the class ∞[−1, 1].
For Paul Montel on his 95th birthday 相似文献
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Winfried Kohnen 《Proceedings of the American Mathematical Society》2005,133(1):65-70
We give a characterization of those meromorphic modular functions on a subgroup of finite index of the full modular group whose divisors are supported at the cusps, in terms of the growth of the exponents of their infinite product expansions.
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William M Causey William L White 《Journal of Mathematical Analysis and Applications》1978,64(2):458-466
This paper is concerned with the starlikeness of certain normalized functions, analytic in the open unit disk, defined by integral representations. Results due to Caplinger and Singh are extended. 相似文献
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We develop a collection of single-parameter series representations involving special functions and mathematical constants. The techniques used result in new representations as well as alternative proofs of known representations. 相似文献
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D. Sh. Lundina 《Journal of Mathematical Sciences》1990,52(5):3390-3397
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 52, pp. 59–69, 1989. 相似文献
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R. T. Rockafellar 《Journal of Optimization Theory and Applications》1991,70(3):619-621
We answer in the affirmative to a conjecture concerning convex functions. 相似文献
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朱尧辰 《应用数学学报(英文版)》1997,13(1):45-56
I.StatementofResultsForarealaleta~ma-c(1,Ial).Lets21.WeuseG.todenotethes-dimensionalunitcube,and(:,')todenotethescalarproductofvectors:and,inH.Form(ml,',m.)EZsand^~(Al,',A.)EHwedenotel'II^=mtl...m:a.Inparticular,ifA=(A,',A),thenwewritellmJI'=IImll^.Fulthermore,forf=(TI,'.)r.)EH,letiff=lrlI ... Ir.].Letf~(n,',r.)ERswithfi20(i~1,',s),andletf(:)beasingle--valuedfunctionsuchthatf(xl,'sxit',x.)~f(xl,')xi 1,',x.),i~1,')s.Writefi=pi fi(i~1,',s),wherepi~fi~0iffi=0an… 相似文献
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Marcela Hanzer 《manuscripta mathematica》2008,127(3):275-307
We prove that a certain class of irreducible representations of the classical p-adic groups is unitarizable and in general, can be isolated in the unitary dual. These representations are Aubert duals of
a certain class of square-integrable representations, thus, in this case, Bernstein’s conjecture, which states that the Aubert
involution preserves unitarizability, is confirmed. 相似文献
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Klaus-Jürgen Förster 《BIT Numerical Mathematics》1986,26(3):327-332
Recently Gautschi [5] has proved that the weight functionsw ξ defined by $$w_\xi (x) = \left\{ {\begin{array}{*{20}c} {\left| x \right|(x^2 - \xi ^2 )^{ - 1/2} (1 - x^2 )^{ - 1/2} ,x \in [ - 1, - \xi ] \cup [\xi ,1]} \\ {0\,\,elsewhere,\,0< \xi< 1} \\ \end{array} } \right.$$ are the only symmetric ones, apart from the Chebyshev weight function, for which there exists for every evenn a Chebyshev rule in the strict sense, havingn nodes and Gaussian degree 2n?1. In this note we show that for an odd numbern of nodes the maximum degree of Chebyshev-type rules forw ξ has a completely different behavior from that for evenn. 相似文献
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Simon Hubbert 《Advances in Computational Mathematics》2012,36(1):115-136
In this paper we re-examine Wendland’s strategy for the construction of compactly supported positive definite radial basis
functions. We acknowledge that this strategy can be modified to capture a much larger range of functions, including the so-called
missing Wendland functions which have been the subject of a recent paper by Schaback (Adv Comput Math 34:67–81, 2011). Our approach is to focus on a general integral representation of such functions and we will show how a careful evaluation
of this integral leads to new closed form expressions for both Wendland’s original functions and the missing ones. The resulting
expressions are easy to code and so provide the potential user with a quick way of accessing a desired example for a given
application. 相似文献
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《Journal of Computational and Applied Mathematics》2002,145(2):261-267
We derive asymptotic expansions for the zeros of the cosine-integral Ci(x) and the Struve function , and extend the available formulae for the zeros of Kelvin functions. Numerical evidence is provided to illustrate the accuracy of the expansions. 相似文献