單葉函數(shù)相鄰系數(shù)的若干問(wèn)題.pdf

1、江西師范大學(xué)碩士學(xué)位論文單葉函數(shù)相鄰系數(shù)的若干問(wèn)題姓名：寧菊紅申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：葉中秋2003.4.1單葉函數(shù)相鄰系數(shù)的若干問(wèn)題AbstractContent：sl|1)p?！?，(z)∈S，(，(z)盧)。=1妻％，，五∈(ol】，thegrowth。f^lSUCCeSSiVecoefficients㈧一h8isadifficultandinterestingproblem(Go]uzinproblem)Many

2、authorshavestudieditbutityethasn’ibeencompletelysolvedInthisthesis，firstlyweinvestigateGolu血problemofthesuccessivecoefficientsofunivalentfunctionswithmaximalgrowthonk刪OILSLetk=2，A≥，m上obtain㈧一h忙4∥”andtheexponent丑一1cannotb

3、eimprovedLet1k=m(m≥3)，1五，thesinlilarresultisalsoobtainedSecondlywestudyGoluzinproblemofcircularlysyroraelricfunctionsLetfisacircularlys珊metricfunction丑=亡(J=2，3，)，with∞趕蛐m咖aposifiwrealfunctionandusingintegralmethod，thedif

4、ferenceofthemodularofsuccessivecoefficientsofksymmetricfunctionsofcircularlysyrmnetricfunctionsisalsoobtajncdwhichisasllarpestimateInadditiontheintegralrepresentationofcircularlysymmetricfunctionsisalsoobtainedFinallywei