The conjecture parallel to the Krzyż conjecture

• Autorzy: Ganczar A. , Michalska M. , Szynal J.
• Języki publikacji: EN

Słowa kluczowe

EN

Krzyż conjecture; coefficient problem; Laguerre polynomials

PL

polynomiały

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 1
• Strony: 65--75
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Ganczar A.

• Institute of Mathematics, Department of Applied Mathematics, M. Curie-Skłodowska University, 20-031 Lublin, Poland

autor

Michalska M.

• Institute of Mathematics, Department of Applied Mathematics, M. Curie-Skłodowska University, 20-031 Lublin, Poland

autor

Szynal J.

• Institute of Mathematics, Department of Applied Mathematics, M. Curie-Skłodowska University, 20-031 Lublin, Poland

Bibliografia

• [1] J. E. Brown, On a coefficient problem for nonvanishing Hᵖ functions, Complex Variables 5 (1985), 1-7.
• [2] R. Ermers, Coefficient estimates for bounded nonvanishing functions, Wibro Dissertatiedrukkerij, Helmond 1990.
• [3] C. Horowitz, Coefficients of nonvanishing functions in H∞, Israel J. Math. 30 (1978), 285-291.
• [4] J. A. Hummel, S. Scheinberg and L. Zalcman, A coefficient problem for the bounded nonvanishing functions, J. Analyse Math. 31, (1977), 169-190.
• [5] J. G. Krzyż, Problem 1, posed in: Fourth Conference on Analytic Functions, (Łódź, 1966), Ann. Polon. Math. 20 (1967-68), 314.
• [6] Z. Lewandowski and J. Szynal, On the Krzyż conjecture and related problems, XVIth Rolf Nevalinna Colloquim, Eds.: Laine/Martio, Walter de Gruyter & Co., Berlin-New York, (1996), 257-268.
• [7] R. Peretz, Some properties of extremal functions for Krzyz problem, Complex Variables 16 (1991), 1-7.
• [8] D. V. Prokhorov and J. Szynal, Inverse coefficients for (α,β)-convex functions, Ann. Univ. Mariae Curie-Sklodowska Sect. A 35 (1981), 125-143.
• [9] P. G. Rooney, Further inequalities for generalized Laguerre polynomials, C. R. Math. Rep. Acad. Sci. Canada 7 (1985), 273-275.
• [10] T. J. Suffridge, Extremal problems for non-vanishing Hᵖ functions, Computational Methods and Function Theory, Proceedings, Valparaiso 1989, St. Ruscheweyh, E. B. Saff, L. C. Salinas, R. S. Varga (eds.), Lecture Notes in Mathematics 1435, 177-190.
• [11] W. Szapiel, A new approach to the Krzyż conjecture, Ann. Univ. Mariae Curie-Skłodowska Sect. A 48 (1994), 169-192.