6篇
您的检索式：作者名="Leetsch C.HSU"
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| 1 | Concerning Two Formulaic Classes in Computational Combinatorics显示文摘Here introduced and studied are two formulaic classes consisting of various combinatorial algebraic identities and series summation formulas.The basic ideas include utilizing properly the-operator and Stirling numbers for some series transformations.A variety of classic formulas and remarkable identities are shown to be the members of the classes. | Leetsch C.HSU | 2012 | Journal of Mathematical Research with Applications2012，32，2： | 4 |
| 2 | On a Pair of Operator Series Expansions Implying a Variety of Summation Formulas显示文摘With the aid of Mullin-Rota's substitution rule, we show that the Sheffertypedifferential operators together with the delta operators D and D could be used toconstruct a pair of expansion formulas that imply a wide variety of summation formulasin the discrete analysis and combinatorics. A convergence theorem is establishedfor a fruitful source formula that implies more than 20 noted classical fomulas and identitiesas consequences. Numerous new formulas are also presented as illustrativeexamples. Finally, it is shown that a kind of lifting process can be used to producecertain chains of (∞m) degree formulas for m≥3 with m≡1 (mod 2) and m≡1 (mod3), respectively. | Leetsch C.Hsu | 2015 | Analysis in Theory and Applications2015，31，3： | 3 |
| 3 | On a Kind of Series Summation Utilizing C-Numbers显示文摘This paper provides a pair of summation formulas for a kind of combinatorial series involvingak+b m as a factor of the summand.The construction of formulas is based on a certain series transformation formula[2,7,9]and by making use of the C-numbers[3].Various consequences and examples including several remarkable classic identities are presented to illustrate some applications of the formulas obtained. | Leetsch C.HSU Xinrong MA | 2014 | Journal of Mathematical Research with Applications2014，34，1： | 2 |
| 4 | Concerning a General Source Formula and Its Applications显示文摘Here presented is a further investigation on a general source formula(GSF) that has been proved capable of deducing more than 30 special formulas for series expansions and summations in the author's recent paper [On a pair of operator series expansions implying a variety of summation formulas.Anal.Theory Appl.,2015,31(3):260–282].It is shown that the pair of series transformation formulas found and utilized by He,Hsu and Shiue [cf.Disc.Math.,2008,308:3427–3440] is also deducible from the GSF as consequences.Thus it is found that the GSF actually implies more than 50 special series expansions and summation formulas.Finally,several expository remarks relating to the(Σ?D) formula class are given in the closing section. | Leetsch C.HSU | 2016 | Journal of Mathematical Research with Applications2016，36，5： | 1 |
| 5 | On the Evaluation of Multifold Convolutions of Polynomials Using Difference and Shift Operators显示文摘Here concerned and further investigated is a certain operator method for the computation of convolutions of polynomials.We provide a general formulation of the method with a refinement for certain old results,and also give some new applications to convolved sums involving several noted special polynomials.The advantage of the method using operators is illustrated with concrete examples.Finally,also presented is a brief investigation on convolution polynomials having two types of summations. | Leetsch C.HSU | 2015 | Journal of Mathematical Research with Applications2015，35，5： | 0 |
| 6 | On a Pair of Hyperstandard Reciprocal Relations with Applications显示文摘The method of non-standard analysis(NSA) is used to construct a pair of hyperstandard reciprocal formulas involving certain non-standard difference operators with realnumber orders.Our main result consists of some extensions of earlier results appearing previously [5].An essential meaning of the paper is to indicate the fact that only the basic idea of NSA is applicable to the construction of a unified pattern that may have certain applications to both the analysis and the number theory. | Leetsch C.HSU | 2013 | Journal of Mathematical Research with Applications2013，33，2： | 0 |
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