p-Adic invariant summation of some p-adic functional series
نویسندگان
چکیده
منابع مشابه
ON SOME p-ADIC SERIES WITH FACTORIALS
In the last nine years p-adic numbers have been successfully applied in various branches of theoretical and mathematical physics (for a review see [1-3]). One of the objects which we often encounter is a p-adic series. My interest in p-adic series is mainly motivated by the significant role they might play not only in pure but also in applied mathematics. It was initiated in 1987 [4] by an obse...
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We investigate various properties of p-adic differential equations which have as a solution an analytic function of the form Fk(x) = ∑ n≥0 n!Pk(n)x , where Pk(n) = n +Ck−1n k−1+· · ·+C0 is a polynomial in n with Ci ∈ Z (in a more general case Ci ∈ Q or Ci ∈ Cp) , and the region of convergence is | x |p< p 1 p−1 . For some special classes of Pk(n), as well as for the general case, the existence ...
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ژورنال
عنوان ژورنال: P-Adic Numbers, Ultrametric Analysis, and Applications
سال: 2014
ISSN: 2070-0466,2070-0474
DOI: 10.1134/s2070046614040025