• Title/Summary/Keyword: Derivative product

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On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution

  • Sooriyakala, Paramasivam;Marikkannan, Natarajan
    • Kyungpook Mathematical Journal
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    • v.49 no.1
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    • pp.47-55
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    • 2009
  • In the present investigation sufficient conditions are found for certain subclass of normalized analytic functions defined by Hadamard product. Differential sandwich theorems are also obtained. As a special case of this we obtain results involving Ruscheweyh derivative, S$\u{a}$l$\u{a}$gean derivative, Carlson-shaffer operator, Dziok-Srivatsava linear operator, Multiplier transformation.

AN APPLICATION OF FRACTIONAL DERIVATIVE OPERATOR TO A NEW CLASS OF ANALYTIC AND MULTIVALENT FUNCTIONS

  • Lee, S.K.;Joshi, S.B.
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.183-194
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    • 1998
  • Making use of a certain operator of fractional derivative, a new subclass $L_p({\alpha},{\beta},{\gamma},{\lambda})$) of analytic and p-valent functions is introduced in the present paper. Apart from various coefficient bounds, many interesting and useful properties of this class of functions are given, some of these properties involve, for example, linear combinations and modified Hadamard product of several functions belonging to the class introduced here.

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Verticilloside, a New Daucosteryl Derivative from the Seeds of Malva verticillata

  • Kim, Jeong-Ah;Yang, Seo-Young;Kang, Sang-Jin;Kim, Young-Ho
    • Natural Product Sciences
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    • v.17 no.4
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    • pp.350-353
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    • 2011
  • A new daucosteryl derivative, verticilloside (1), was isolated from the seeds of Malva verticillata L. (Malvaceae). The structure was determined to be 3-O-[${\beta}$-D-(6'-linoleoyl)glucopyranosyl]-${\beta}$-sitosterol based on spectroscopic analyses ($^1H$ and $^{13}C$-NMR, DEPT, COSY, HMQC, and HMBC) and chemical reactions.

A STARLIKENESS CONDITION ASSOCIATED WITH THE RUSCHEWEYH DERIVATIVE

  • Li, Jian-Lin;Srivastava, H.M.
    • East Asian mathematical journal
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    • v.18 no.1
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    • pp.1-13
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    • 2002
  • Some Miller-Mocanu type arguments are used here in order to establish a general starlikeness condition involving the familiar Ruscheweyh derivative. Relevant connections with the various known starlikeness conditions are also indicated. This paper concludes with several remarks and observations in regard especially to the nonsharpness of the main starlike condition presented here.

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FEKETE-SZEGÖ INEQUALITIES FOR A NEW GENERAL SUBCLASS OF ANALYTIC FUNCTIONS INVOLVING THE (p, q)-DERIVATIVE OPERATOR

  • Bulut, Serap
    • Communications of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.723-734
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    • 2022
  • In this work, we introduce a new subclass of analytic functions of complex order involving the (p, q)-derivative operator defined in the open unit disc. For this class, several Fekete-Szegö type coefficient inequalities are derived. We obtain the results of Srivastava et al. [22] as consequences of the main theorem in this study.

Synthesis of [1,2,4]-Triazole Derivatives and Their Anticancer Activities ([1,2,4]-Triazole 유도체의 합성 및 항암활성)

  • Lee, So-Ha;Kim, Jun-Suck;Jeon, Jae-Ho;Lee, Sook-Ja
    • Journal of the Korean Applied Science and Technology
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    • v.24 no.2
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    • pp.109-116
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    • 2007
  • 2-Chlorobenzoyl hydrazine refluxed with benzoyl isothiocyanate and phenyl isothiocyanate in ethanol for 3 hours to give benzamide derivative (1) and anilinederivative (2) on yield of 71%and 95%, respectively. Benzamide derivative (1) reacted with ethanolic sodium hydroxide on reflux to afford cyclization product (3), followed by general substitution reaction of two steps to give acetamide (5), and derivatived acetamides 7a-7k, while aniline derivative (2) reacted with ethanolic sodium hydroxide on reflux to afford another cyclization product (4). Thiol (4) reacted with N-phenyl chloroacetamide in the presence of potassim carbonate to give acetamide derivative (6). Compounds 1-7kwere evaluated for their growth inhibition against five cancer cell lines, including human lung carcinoma (A-549), human prostate cancer (DU145), human colon adenocarcinoma (HT-29), human malignant melanoma (SK-MEL-2) and human ovary malignant ascites (SK-OV-3) with sulforhodamine B (SRB) assay. All compounds (1-7k) showed low inhibition activities under 50% on 100M concentration.