Cover Image

Conjugate $(1/q, q)$-harmonic Polynomials in $q$-Clifford Analysis

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bernstein, Swanhild, Altavilla, Amedeo, Zimmermann, Martha Lina
Format:	Preprint
Published:	2025
Subjects:	Complex Variables 30G35, 39A70, 81A99
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The $q$-Dirac Operator on Quantum Euclidean Space
by: Bernstein, Swanhild, et al.
Published: (2025)

$q$-Fock Space of $q$-Analytic Functions and its realization in $L^{2}(\mathbb{C}; e^{-z\bar z} \,\mathrm{d}x\,\mathrm{d}y)$
by: Altavilla, Amedeo, et al.
Published: (2025)

Nevanlinna theory of the Hahn difference operators and its applications
by: Wang, Ling
Published: (2025)

Zero order meromorphic solutions of $q$-difference equations of Malmquist type
by: Korhonen, Risto, et al.
Published: (2024)

Paley-Wiener Type Theorems associated to Dirac Operators of Riesz-Feller type
by: Bernstein, Swanhild, et al.
Published: (2024)

Uniqueness of first derivatives and differences in meromorphic functions and the characterization of entire function periodicity
by: Banerjee, Abhijit, et al.
Published: (2025)

The higher spin $Π$-operator in Clifford analysis
by: Cheng, Wanqing, et al.
Published: (2025)

On Meromorphic Solutions to a Difference Equation of Tumura-Clunie Type
by: Long, Jianren, et al.
Published: (2025)

Some new findings concerning value distribution of a pair of delay-differential polynomials
by: Long, Jianren, et al.
Published: (2025)

$q$-Rational functions and interpolation with complete Nevanlinna Pick Kernels
by: Alpay, Daniel, et al.
Published: (2024)

Some properties and integral transforms in higher spin Clifford analysis
by: Ding, Chao
Published: (2024)

Asymmetric uniqueness sets in $\ell^q$
by: Limani, Adem, et al.
Published: (2026)

On the existence of entire solutions to a system of nonlinear Fermat-type partial differential-difference equations
by: Xu, Junfeng, et al.
Published: (2025)

Solutions of certain Fermat-type partial differential-difference equations
by: Majumder, Sujoy, et al.
Published: (2025)

Explicit Witt basis over the tensor product of Clifford algebras and octonions
by: Li, Yong, et al.
Published: (2024)

On discrete holomorphic Paley-Wiener spaces and sampling on the square lattice
by: Monguzzi, Alessandro, et al.
Published: (2025)

Askey-Wilson version of Second Main Theorem for holomorphic curves in projective space
by: Tan, Chengliang, et al.
Published: (2024)

Hardy decomposition of higher order Lipschitz classes by polymonogenic functions
by: Toranzo, Lianet De la Cruz, et al.
Published: (2024)

Hyperbolic Valued Metric Space
by: Ghosh, Chinmay, et al.
Published: (2021)

Bohr phenomena for slice regular functions over Quaternions
by: Ahammed, Sabir, et al.
Published: (2025)

A representation formula for slice regular functions over slice-cones in several variables
by: Dou, Xinyuan, et al.
Published: (2020)

The fibre operators in the Bloch-Floquet decomposition of periodic magnetic pseudo-differential operators
by: Cornean, Horia D., et al.
Published: (2025)

Towards a Function Theory of Complexified Octonions
by: Krausshar, Rolf Sören, et al.
Published: (2026)

Slice conformality and Riemann manifolds on quaternions and octonions
by: Gentili, Graziano, et al.
Published: (2021)

On the Zeros of $q$-Hankel Transform by Using Pólya-Hurwitz Partial Fraction Method
by: Annaby, Mahmoud, et al.
Published: (2025)

On the summability and convergence of formal solutions of linear $q$-difference-differential equations with constant coefficients
by: Ichinobe, Kunio, et al.
Published: (2023)

Generalized Π-operator in the theory of slice monogenic functions and applications
by: Sun, Ziyi, et al.
Published: (2025)

On quasi-Herglotz functions in one variable
by: Luger, Annemarie, et al.
Published: (2019)

Entire functions of several complex variables satisfying certain Fermat-type PDDEs
by: Xu, Hong Yan, et al.
Published: (2024)

Solutions of systems of certain Fermat-type PDDEs
by: Biswas, Raju, et al.
Published: (2025)

Existence of Solutions to Systems of General Quadratic Functional Equations in $\mathbb{C}^n$
by: Ahamed, Molla Basir, et al.
Published: (2024)

Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions
by: Hu, Manjie, et al.
Published: (2025)

Teodorescu transform for slice monogenic functions and applications
by: Ding, Chao, et al.
Published: (2024)

Integral formulas and Hodge decomposition in the theory of generalized partial-slice mo-nogenic functions
by: Hu, Manjie, et al.
Published: (2026)

Polyharmonicity, Almansi-type decompositions and Fueter-Sce theorem for several Clifford variables
by: Binosi, Giulio
Published: (2025)

Bicomplex generalized hypergeometric functions and their applications
by: Bera, Snehasis, et al.
Published: (2023)

Duality, polarity and convolution in umbral calculus
by: Grivaux, Julien
Published: (2025)

On the existence of meromorphic solutions of the complex Schrödinger equation with a q-shift
by: Korhonen, Risto, et al.
Published: (2026)

Path-slice star-product on non-axially symmetric domains in several quaternionic variables
by: Dou, Xinyuan, et al.
Published: (2024)

Zeroes of weakly slice regular functions of several quaternionic variables on non-axially symmetric domains
by: Dou, Xinyuan, et al.
Published: (2024)