منابع مشابه
a cross-comparative dtudy between two textbook series in terms of the presentation of politeness
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15 صفحه اولRelative order and type of entire functions represented by Banach valued Dirichlet series in two variables
In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of i...
متن کاملOn the irrationality of factorial series II
In this paper we give irrationality results for numbers of the form ∑∞ n=1 an n! where the numbers an behave like a geometric progression for a while. The method is elementary, not using differentiation or integration. In particular, we derive elementary proofs of the irrationality of π and em for Gaussian integers m 6= 0.
متن کاملInverse Factorial-series Solutions of Difference Equations
We obtain inverse factorial-series solutions of second-order linear difference equations with a singularity of rank one at infinity. It is shown that the Borel plane of these series is relatively simple, and that in certain cases the asymptotic expansions incorporate simple resurgence properties. Two examples are included. The second example is the large a asymptotics of the hypergeometric func...
متن کاملFactorial analysis of variables influencing stress in all-ceramic crowns.
OBJECTIVE The objective of this investigation was to evaluate the relative contribution of variables in the crown-cement-tooth system that can influence magnitude of maximum principal stress in all-ceramic crowns. METHODS.: Factorial analysis was performed to calculate the coefficients of main and interactive effects of seven variables on maximum stress distribution in a series of finite elemen...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1928
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1928-04567-6