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Notation used in the definitions follows mainly [Mac]. Garsia, M. Bergeron, A. Haiman, and G. Tesler, Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions, Methods Appl. Lapointe, A. Lascoux, J. Bergeron, M. Bases: sage. Returns the Dragon Ball Sex polynomials on the H basis. Return the value of the nabla operator applied to self.
If the parameter power is an integer then it calculates nabla to that integer. The default value of power is 1. Returns the qt-Hall scalar product between J part Sage Macdonald P part. Returns the family of Macdonald bases associated to the basis self.
Multiply an element of the Macdonald symmetric function basis self and another Sage Macdonald function. Convert to the Schur basis, do Rough Handjob multiplication there, and convert back to self basis. It is implemented here by using a Pieri formula due to F.
Bergeron and M. Haiman [BH]. Returns the value of the nabla operator applied to self. The multiplication of the modified Sage Macdonald functions behaves the same as the multiplication of the Schur functions. This function returns the qt-Hall scalar product between J part and P part. Proposition 5 of F. Haiman [BH] states. LLT symmetric functions. Monomial symmetric functions. Navigation index modules next previous Sage 9.
Macdonald Polynomials ¶ Notation used in the definitions follows mainly [Mac]. BGHT 12 F. LLM 12 L. BH 12 F. P Sym in the Macdonald P basis sage: Sym. P sage: P. P sage: MacP. Quick search. Created using Sphinx 3.
Notation used in the definitions follows mainly [Mac]. Garsia, M. Bergeron, A.
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