Titlebook: Ramanujan’s Notebooks; Part I Bruce C. Berndt Book 1985 Springer Science+Business Media New York 1985 calculus.exponential function.transfo

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https://doi.org/10.1007/978-1-4612-1088-7calculus; exponential function; transformation

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Foam-Cells

Magic Squares,r constructing certain rectangular arrays of natural numbers are given. Most of Ramanujan’s attention is devoted to constructing magic squares. A magic square is a square array of (usually distinct) natural numbers so that the sum of the numbers in each row, column, or diagonal is the same. In some

售穴

Combinatorial Analysis and Series Inversions,s. Another primary theme in Chapter 3 revolves around series expansions of various types. However, the deepest and most interesting result in Chapter 3 is Entry 10, which separates the two main themes but which has some connections with the former. Entry 10 offers a highly general and potentially ve

性学院

Iterates of the Exponential Function and an Ingenious Formal Technique,ein the Bell numbers, single-variable Bell polynomials, and related topics are studied. Recall that the Bell numbers .(.), 0 ≤ . ≤ ∞, may be defined by They were first thoroughly studied in print by Bell [1], [2] approximately 25–30 years after Ramanujan had derived several of their properties in th

Motilin

Eulerian Polynomials and Numbers, Bernoulli Numbers, and the Riemann Zeta-Function,rity pertain to Bernoulli numbers, Euler numbers, Eulerian polynomials and numbers, and the Riemann zeta-function. As is to be expected, most of these results are not new. The geneses of Ramanujan’s first published paper [4] (on Bernoulli numbers) and fourth published paper [7] (on sums connected wi