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On MacDonald's Symmetric Functions
Bulletin of the London Mathematical Society, 1992An algorithm for computing Macdonald's two-parameter symmetric functions is suggested. A transition matrix from the basis of power sums to the basis of Macdonald's functions is constructed recursively (with respect to the dominance partial order on partitions) by a method analogous to Shoji's method of computing the Green functions of \(\text{GL}(n,q)\)
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α-Chromatic Symmetric Functions
International Mathematics Research NoticesAbstract In this paper, we introduce the $\alpha $-chromatic symmetric functions $\chi ^{(\alpha )}_\pi [X;q]$, extending Shareshian and Wachs’ chromatic symmetric functions with an additional real parameter $\alpha $. We present positive combinatorial formulas with explicit interpretations.
Haglund, Jim, Oh, Jaeseong, Yoo, Meesue
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Decomposable Skew-Symmetric Functions
Moscow Mathematical Journal, 2003Summary: A skew-symmetric function \(F\) in several variables is said to be decomposable if it can be represented as a determinant det\((f_i(x_j))\) where \(f_i\) are univariate functions. We give a criterion of the decomposability in terms of a Plücker-type identity imposed on the function \(F\).
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Certain New Subclass of Multivalent Q-Starlike Functions Associated with Q-Symmetric Calculus
Fractal and Fractional, 2022Mohammad Khan, Shahid Khan
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On q-Starlike Functions Defined by q-Ruscheweyh Differential Operator in Symmetric Conic Domain
Symmetry, 2021Saira Zainab, Mohsan Raza, Qin Xin
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The Study of the New Classes of m-Fold Symmetric bi-Univalent Functions
Mathematics, 2022Daniel Breaz, Cotirla Luminita-Ioana
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Properties of q-Symmetric Starlike Functions of Janowski Type
Symmetry, 2022Saliu Afis, Isra Al-shbeil, Jianhua Gong
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Applications of Symmetric Quantum Calculus to the Class of Harmonic Functions
Symmetry, 2022Mohammad Khan +2 more
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