On the Evaluation of a Definite Integral Involving Nested Square Root Functions
نویسندگان
چکیده
منابع مشابه
On Generating Functions Involving the Square Root of a Quadratic Polynomial
Many familiar counting sequences, such as the Catalan, Motzkin, Schröder and Delannoy numbers, have a generating function that is algebraic of degree 2. For example, the GF for the central Delannoy numbers is 1 √ 1−6x+x2 . Here we determine all generating functions of the form 1 √ 1+Ax+Bx that yield counting sequences and point out that they have a unified combinatorial interpretation in terms ...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2007
ISSN: 0035-7596
DOI: 10.1216/rmjm/1187453113