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In the paper we define classes of meromorphic multivalent functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radius of starlikeness, subordination theorems and partial sums for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.

Classes of Ruscheweyh-type analytic univalent functions.

Shams, Saeid, Kulkarni, S.R., Jahangiri, Jay M. (2003)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Classes of uniformly starlike and convex functions.

Shams, Saeid, Kulkarni, S.R., Jahangiri, Jay M. (2004)

International Journal of Mathematics and Mathematical Sciences

Classical extremal problems for univalent functions

L. Iliev (1983)

Banach Center Publications

Classical Families of Univalent Functions in the Hornich Space.

Wolfram Koepf (1985)

Monatshefte für Mathematik

Classification of complete minimal surfaces in R3 with total curvature 12... .

C.J. Costa (1991)

Inventiones mathematicae

Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space.

Brackx, Fred, De Schepper, Nele, Sommen, Frank (2004)

International Journal of Mathematics and Mathematical Sciences

Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces

Ricardo Abreu Blaya, Juan Bory Reyes (2014)

Annales Polonici Mathematici

In this note, based on a natural isomorphism between the spaces of differential forms and Clifford algebra-valued multi-vector functions, the Cauchy type integral for self-conjugate differential forms in ℝⁿ is considered.

Clifford and harmonic analysis on cylinders and torii.

Rolf Sören Krausshar, John Ryan (2005)

Revista Matemática Iberoamericana

Cotangent type functions in Rn are used to construct Cauchy kernels and Green kernels on the conformally flat manifolds Rn/Zk where 1 < = k ≤ M. Basic properties of these kernels are discussed including introducing a Cauchy formula, Green's formula, Cauchy transform, Poisson kernel, Szegö kernel and Bergman kernel for certain types of domains. Singular Cauchy integrals are also introduced as are associated Plemelj projection operators. These in turn are used to study Hardy spaces in this...

Clifford-Hermite Wavelets in Euclidean Space.

F. Brackx, F. Sommen (2000)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Clifford-Hermite-monogenic operators

Freddy Brackx, Nele de Schepper, Frank Sommen (2006)

Czechoslovak Mathematical Journal

In this paper we consider operators acting on a subspace $ℳ$ of the space $L_{2} (ℝ^{m}; ℂ_{m})$ of square integrable functions and, in particular, Clifford differential operators with polynomial coefficients. The subspace $ℳ$ is defined as the orthogonal sum of spaces $ℳ_{s, k}$ of specific Clifford basis functions of $L_{2} (ℝ^{m}; ℂ_{m})$ . Every Clifford endomorphism of $ℳ$ can be decomposed into the so-called Clifford-Hermite-monogenic operators. These Clifford-Hermite-monogenic operators are characterized in terms of commutation relations and they...

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Displaying 101 – 120 of 360

Circle packing: Experiments in discrete analytic function theory.

Circle packings and co-compact extensions of Kleinian groups.

Classes of convex functions.

Classes of meromorphic functions defined by the Hadamard product.

Classes of meromorphic functions with respect to N-symmetric points.

Classes of meromorphic multivalent functions with Montel’s normalization