COMPLEX FUNCTION THEORY
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1 COMPLEX FUNCTION THEORY AND APPLICATIONS Proceeding of the International Symposium on Complex Function Theory and Applications 1 5 September 2006, Braşov, Romania - Dedicated to the memory of Professor Nicolae N. Pascu - EDITORS MIHAI N. PASCU Transilvania University of Braşov Romania SHIGEYOSHI OWA Kinki University Japan Transilvania University of Braşov Printing House Braşov, Romania, 2006
2 2006 EDITURA UNIVERSITĂŢII TRANSILVANIA BRAŞOV Adresa: Braşov, B-dul Eroilor, Nr. 9 Tel/Fax : editura@unitbv.ro Tipărit la: Tipografia Universităţii "Transilvania" din Braşov B-dul Eroilor 9 tel/fax: Toate drepturile rezervate Editură acreditată de CNCSIS Adresa nr.1615 din 29 mai 2002 Referenţi ştiinţifici: Prof. univ. dr. Virgil PESCAR Conf. univ. dr. Dorina RĂDUCANU Descriere CIP a Bibliotecii Naţionale a României COMPLEX FUNCTION THEORY AND APPLICATIONS. INTERNATIONAL SYMPOSIUM (2006 ; Braşov) Complex function theory and applications : Braşov, 1-5 September 2006 : proceedings of the international symposium / ed.: Mihai N. Pascu, Shigeyoshi Owa. - Braşov : Editura Universităţii "Transilvania", 2006 Bibliogr. ISBN (10) ; ISBN (13) I. Pascu, Mihai N. (ed.) II. Owa, Shigeyoshi (ed.) (063)
3 Dedicated to the memory of Professor Nicolae N. Pascu
4 Professor Nicolae N. Pascu 22 July September 2004
5 Contents Preface Homage to the memory of Professor Nicolae N. Pascu Cabiria Andreian Cazacu Homage to the memory of Professor Nicolae N. Pascu Petru T. Mocanu Vita of Professor Nicolae N. Pascu A note on a class of close to convex functions Mugur Acu 1 Some convexity properties for a general integral operator on the classes SP and SP (α, β) Daniel Breaz and Nicoleta Breaz 7 Direct products of K-quasiconformal homeomorphisms in Pesin s sense Serafima Cerchez 13 New applications of classes of analytic functions involving the Sălăgean operator Sevtap Sümer Eker and Shigeyoshi Owa 21 On generalized Sakaguchi univalent functions related to complex order H. Özlem Güney 35 The study of surfaces with negative Gauss curvature using the monogenous functions Lidia Elena Kozma 47 Some scalar and operator-valued moment problems Luminiţa Lemnete Ninulescu 59 Exact solutions and analytical methods for special limit problems applied in continuous environments mechanics Mircea Lupu and Olivia Florea 65 An application of Hölder inequality for certain analytic functions Junichi Nishiwaki and Shigeyoshi Owa 75 On neighborhoods of analytic functions Halit Orhan, Muhammet Kamali and Shigeyoshi Owa 83 Some extensions of Schwarz lemma Mihai N. Pascu and Nicolae R. Pascu 93 vii ix xi xiii v
6 vi CONTENTS On univalence criteria Virgil Pescar 103 New results for λ-spirallike functions of complex order Yaşar Polatoğlu 109 Integral Means of Certain Analytic Functions for Differintegral Operator Tadayuki Sekine, Shigeyoshi Owa and Rikuo Yamakawa 117 On some functions of the Laplace transform without zeros on the right half-plane Katsuo Takano 127 List of participants 141 Photos 144
7 PREFACE The aim of the present Symposium on Complex Function Theory and Applications held between 1 5 September 2007 at Transilvania University of Braşov, Faculty of Mathematics and Computer Science, was two fold: to gather together mathematicians working in the area of Complex Function Theory, as well as to honorthe untimely death of Professor Nicolae N. Pascu, mathematician who brought important contributions in this area, especially in the area of Univalent Functions. We intended this Symposium to be a continuation of the previous International Symposium on Analytic function Theory, Fractional calculus and Their Applications, held between August 2005 at University of Victoria (Canada), which was dedicated to 65 th anniversary of Professor Hari M. Srivastava. We are also happy to see that this tradition is continued, the Symposium being held this year at TC Kültür University, Istanbul (Turkey). We consider that the Symposium was a success, and we would like to thank here again all our sponsors, especially to Mr. Hisayoshi Nishiwaki, and to our host, Transilvania University of Brasov, for making this success possible. We also would like to thank all the participants and the local organizers for creating and maintaining a friendly, academic atmosphere, beneficial for the success of the Symposium. Lastly, but not last, we dedicate all our efforts and endeavors in preparing this Symposium as a last homage to Professor Nicolae N. Pascu, dear father and friend, whose disappearance among our midst left a great empty space in our hearts. You will not be forgotten! The editors, Mihai N. Pascu and Shigeyoshi Owa Braşov, June 2007 vii
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