Novel Formulas of Schröder Polynomials and Their Related Numbers
نویسندگان
چکیده
This paper explores the Schröder polynomials, a class of polynomials that produce famous numbers when x=1. The three-term recurrence relation and inversion formula these are couple fundamental polynomial characteristics given. derivatives moments From this formula, also their high-order deduced as two significant special cases. further expressed in new forms using other polynomials. Connection formulas between few provided direct result formulas. Furthermore, expressions link some celebrated with for repeated integrals is derived terms linearization involving established.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11020468