In
mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
, the Humbert polynomials π(''x'') are a generalization of
Pincherle polynomials
In mathematics, the Pincherle polynomials P''n''(''x'') are polynomials introduced by given by the generating function
:\displaystyle (1-3xt+t^3)^=\sum^\infty
_P_n(x)t^n
Humbert polynomials
In mathematics, the Humbert polynomials π(''x'') are ...
introduced by given by the
generating function
In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often expressed in closed form (rather than as a series), by some expression invo ...
:
.
See also
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Umbral calculus
The term umbral calculus has two related but distinct meanings.
In mathematics, before the 1970s, umbral calculus referred to the surprising similarity between seemingly unrelated polynomial equations and certain shadowy techniques used to prove ...
References
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Polynomials
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