Computation of certain infinite series of the form Sigma f(n)n(k) for arbitrary real-valued k
Abbreviated Journal Title
Appl. Math. Comput.
Computation of infinite series; Generating functions; Fractional; calculus; Generalized Bell polynomials; Applications of Taylor series; GENERATING POLYNOMIALS; FRACTIONAL DERIVATIVES; BELL POLYNOMIALS; STIRLING NUMBERS; LEIBNIZ RULE; ASYMPTOTICS; 2ND-KIND; Mathematics, Applied
We provide a general method from which one may obtain more arbitrary closed form solutions for infinite series of the form Sigma f(n)n(k), for k is an element of R and sufficiently well-behaved f(n). We illustrate the methods for the special case of f(n) = a(n)/!, obtaining generalizations to the Bell numbers and polynomials. (C) 2009 Elsevier Inc. All rights reserved.
Applied Mathematics and Computation
"Computation of certain infinite series of the form Sigma f(n)n(k) for arbitrary real-valued k" (2009). Faculty Bibliography 2000s. 2249.