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            <front>

                <journal-meta>
                                                                <journal-id>math. sci. appl. e-notes</journal-id>
            <journal-title-group>
                                                                                    <journal-title>Mathematical Sciences and Applications E-Notes</journal-title>
            </journal-title-group>
                                        <issn pub-type="epub">2147-6268</issn>
                                                                                            <publisher>
                    <publisher-name>Murat TOSUN</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.36753/mathenot.421464</article-id>
                                                                                                                                                                                            <title-group>
                                                                                                                                                            <article-title>On Polynomials and Their Polar Derivative</article-title>
                                                                                                    </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                <name>
                                    <surname>Mir</surname>
                                    <given-names>Abdullah</given-names>
                                </name>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20161030">
                    <day>10</day>
                    <month>30</month>
                    <year>2016</year>
                </pub-date>
                                        <volume>4</volume>
                                        <issue>2</issue>
                                        <fpage>110</fpage>
                                        <lpage>120</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20150904">
                        <day>09</day>
                        <month>04</month>
                        <year>2015</year>
                    </date>
                                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2013, Mathematical Sciences and Applications E-Notes</copyright-statement>
                    <copyright-year>2013</copyright-year>
                    <copyright-holder>Mathematical Sciences and Applications E-Notes</copyright-holder>
                </permissions>
            
                                                                        
            
                                                                                        <kwd-group>
                                                    <kwd>Polar derivative</kwd>
                                                    <kwd>  polynomials</kwd>
                                                    <kwd>  zeros</kwd>
                                                    <kwd>  L^γ−inequalities in the complex domain</kwd>
                                            </kwd-group>
                            
                                                                                                                                                    </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">[1] A. Mir and B. Dar., Some inequalities concerning the polar derivative of a polynomial-II, Anal. Theory Appl., 29
(2013), 384-389.</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">[2] A. Aziz and Q. M. Dawood., Inequalities for a polynomial and its derivative, J. Approx. Theory, 54 (1988),
306-313.</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">[3] A. Aziz and N. A. Rather., Some Zygmund type Lq−inequalities for polynomials, J. Math. Anal. Appl., 289
(2004), 14-29.</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">[4] A.Aziz and N.A.Rather., Inequalities for the polar derivative of a polynomial with restricted zeros, Math. Balk.,
17 (2003), 15-28.</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">[5] A. Aziz and N. A. Rather., A refinement of a theorem of Paul Turan concerning polynomials, Math. Ineq. Appl.,
1(1998), 231-238.</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">[6] A. Aziz and W. M. Shah., An integral mean estimate for polynomials, Indian J. Pure Appl. Math., 28 (1997),
1413-1419.</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">[7] S. Bernstein., Lecons Sur Les Proprietes extremals et la meilleure approximation des fonctions analytiques
d’une fonctions reelle, Gauthier-villars (Paris 1926).</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">[8] K. K. Dewan, N. Singh and R. Lal., Inequalities for the polar derivative of a polynomial, Int. J. Pure. Appl. Math.,
33 (2006), 109-117.</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">[9] K. K. Dewan, N. Singh and A. Mir., Extensions of some polynomial inequalities to the polar derivative, J. Math.
Anal. Appl., 352 (2009), 807-815.</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">[10] K. K. Dewan, A. Mir and R. S. Yadav., Integral mean estimates for polynomials whose zeros are with in a circle,
IJMMS, 4 (2001), 231-235.</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">[11] K. K. Dewan, N. Singh, A. Mir and A. Bhat., Some inequalities for the polar derivative of a polynomial, Southeast
Asain Bull. Math., 34 (2010), 69-77.</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">[12] N. K. Govil., Some inequalities for derivative of polynomials, J.Approx. Theory, 66 (1991), 29-35.</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">[13] N. K. Govil, Q. I. Rahman and G. Schemeisser., On the derivative of a polynomial, Illinois J. Math., 23 (1979),
319-330.</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">[14] E. Hille, Ananlytic function theory, Vol II, Ginn and Company, New York, Toranto, 1962.</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">[15] M. A. Malik., On the derivative of a polynomial, J. London Math. Soc., 1 (1969), 57-60.</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">[16] M. Riesz., Eine trigonometrische interpolationsformel und einige Ungleichungen für Polynome, Jahresbericht
der Deutschen Mathematiker-Vereinigung, 23 (1914), 354-368.</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">[17] P. Turán., Über die ableitung von polynomen, Compositio Math., 7 (1939), 89-95.</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
