ANALYTIC FUNCTIONS

λ,q,sα1g(z)− β=p(z)+zp(z)(1 − η)q(z)+c + η. (3.12)The remaining part of the proof in Theorem 3.4 is similar to that of Theorem 2.6 and sowe omit it.AcknowledgmentThis research was supported by Kyungsung University grants in 2007.References[1] S.OwaandH.M.Srivastava,“AnalyticsolutionofaclassofBr[r]

es Sci. Indust.,no. 1301, Hermann, Paris, 1963.[18] H. O. Kim, Derivatives of Blaschke products, Pacific Journal of Mathematics 114 (1984), no. 1,175–190.[19] J. R. Kinney, Tangential limits of functions of the class Sα, Proceedings of the American Mathe-matical Society 14 (1963), 68–70.[20] J[r]

Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2008, Article ID 390435, 14 pagesdoi:10.1155/2008/390435Research ArticleNew Classes of Analytic Functions InvolvingGeneralized Noor Integral OperatorRabha W. Ibrahim and Maslina DarusSchool of Mathematical Sci[r]

RESEARCH Open AccessA study of Pescar’s univalence criteria for spaceof analytic functionsImran Faisal and Maslina Darus** Correspondence: maslina@ukm.mySchool of Mathematical Sciences,Faculty of Science and Technology,Universiti Kebangsaan Malaysia,Bangi 43600 Selangor D. Ehsan,MalaysiaAbstr[r]

Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2007, Article ID 86493, 5 pagesdoi:10.1155/2007/86493Research ArticleSufficient Univalence Conditions for Analytic FunctionsDaniel Breaz and Nicoleta BreazReceived 30 October 2007; Accepted 4 December 2007Recommended[r]

A FIXED POINT THEOREM FOR ANALYTIC FUNCTIONSVALENTIN MATACHEReceived 4 August 2004We prove that each analytic self-map of the open unit disk which interpolates betweencertain n-tuples must have a fixed point.1. IntroductionLet U denote the open unit disk centered at the origin and T its[r]

Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2008, Article ID 134932, 12 pagesdoi:10.1155/2008/134932Research ArticleA New Subclass of Analytic Functions Defined byGeneralized Ruscheweyh Differential OperatorSerap BulutCivil Aviation College, Kocaeli Univ[r]

Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2007, Article ID 48294, 6 pagesdoi:10.1155/2007/48294Research ArticleOn Subordination Result Associated with Certain Subclass ofAnalytic Functions Involving Salagean OperatorSevtap S¨umer Eker, Bilal S¸eker, and Shig[r]

Functions, vol. 19, no. 12, pp. 885–891, 2008.14 S M. Jung, “An approximation property of exponential functions,” Acta Mathematica Hungarica, vol.124, no. 1-2, pp. 155–163, 2009.15 S M. Jung, “Approximation of analytic functions by Hermite functions,” Bulletin[r]

function Φ on the complex plane cut along Γ whose boundary values satisfy the conjugacyconditionΦ+(t) = G(t)Φ−(t)+g(t), t ∈ Γ, (1.1)where G and g are the given functions on Γ,andΦ+,andΦ−are boundary values of Φon Γ from inside and outside Γ, respectively. This problem is also known as the pro[r]

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RESEARCH Open AccessGeneralized conditions for starlikeness andconvexity of certain analytic functionsNeslihan Uyanik1and Shigeyoshi Owa2** Correspondence: owa@math.kindai.ac.jp2Department of Mathematics, KinkiUniversity, Higashi-Osaka, Osaka577-8502, JapanFull list of author information isav[r]

are positive.Howone proves such a fact about the coefficients of such a power seriesis another story, but at least one begins to see how this transitionfrom integers to analytic functions takes place. But now let’s look atsome addition problems that we can solve completely by the analyt[r]

q1z ≺ 1 zfzfz≺ q2z. 4.33AcknowledgmentsThe work presented here is supported by the FRGS and Science Fund research grants, and itwas completed during V. Ravichandran visit to USM. The University’s support is gratefullyacknowledged.References1 S. Owa and M. Obradovi´c, “An application[r]

1 A. W. Goodman, “On the Schwarz-Christoffel transformation and p-valent functions,” Transactions ofthe American Mathematical Society, vol. 68, pp. 204–223, 1950.2 M. K. Aouf, “On a class of p-valent close-to-convex functions of order β and type α,” InternationalJournal of Mathemati[r]

dt−1/μ,2.59then Fz ∈ S∗β.AcknowledgmentThe authors would like to thank the referee for giving them thoughtful suggestions whichgreatly improved the presentation of the paper. Bao Gejun was supported by NSF ofP.R.China no. 11071048.Journal of Inequalities and Applications 11References1 C.[r]

ıTheorem. (i) There exists a function f ∈ L2\H2which admits a decom-position (3) converging everywhere outside of some compact K of finiteΛ-measure.(ii) The result fails if one replaces the condition Λ(K) < ∞ with Λ(K)=0even if K is not required to be compact.Part (i) can be proved by the cons[r]

Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2009, Article ID 574014, 7 pagesdoi:10.1155/2009/574014Research ArticleSubordination Results on Subclasses ConcerningSakaguchi FunctionsB. A. Frasin1and M. Darus21Department of Mathematics, Al al-Bayt University, P.O. Box 1[r]

430 FUNCTIONS OF COMPLEX VARIABLE10.2.2-3. Cauchy-type integral.Suppose that C is an arbitrary curve without cusps, not necessarily closed. Let an arbitraryfunction f(ξ), which is assumed to be finite and integrable, be given on this curve.The integralF (z)=12πiCf(ξ) dξξ – z(10.2.2.13)is call[r]

dx√1 + x2should contain exor√1 −x: the appearance of these functions in theintegral could only be apparent, and they could be eliminated before dif-ferentiation. Laplace’s principle really rests on the fact, of which it is easyenough to convince oneself by a little reflection and the considera[r]