{"product_id":"vistas-of-special-functions-study-zeta-function-connections","title":"Vistas of Special Functions - Study Zeta-Function Connections","description":"\u003cp\u003eIn this review of Vistas of Special Functions the bottom line is clear: this book is best for graduate students, researchers, and advanced undergraduates who want a focused, zeta-function centered route into classical special functions. The authors organize scattered formulas and present connections that are not often collected together, so readers who value conceptual placement and cross-references will find it especially useful. The review highlights that the single biggest reason to buy is the book's unifying treatment of Bernoulli polynomials, zeta-functions and classical special functions that illuminates relationships rather than only listing formulas.\u003c\/p\u003e\n\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n \u003cli\u003e\n\u003cstrong\u003eUnified approach:\u003c\/strong\u003e The text places many important formulas in proper context, helping readers see how special functions relate through zeta-functions.\u003c\/li\u003e\n \u003cli\u003e\n\u003cstrong\u003eCovers core topics:\u003c\/strong\u003e The book surveys Bernoulli polynomials, the gamma function and related functions so readers can connect these foundations to applications.\u003c\/li\u003e\n \u003cli\u003e\n\u003cstrong\u003eMultiple zeta-functions:\u003c\/strong\u003e Hurwitz, Lerch, and Epstein zeta-functions are treated to show their role in deriving and organizing identities.\u003c\/li\u003e\n \u003cli\u003e\n\u003cstrong\u003eAnalytic tools:\u003c\/strong\u003e Introductions to Fourier analysis and finite Fourier series give readers practical techniques for handling periodic Bernoulli polynomials and series.\u003c\/li\u003e\n \u003cli\u003e\n\u003cstrong\u003eSupplementary material:\u003c\/strong\u003e The book includes Dirichlet L-functions, Bessel functions and summation formulas to broaden the toolkit for analytic number theory and special function work.\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis book suits graduate students in mathematics, researchers in analytic number theory and anyone studying special functions who wants a zeta-function perspective rather than a purely tabular compendium. It is particularly helpful for readers who already know the basics of complex analysis and want to see where formulas fit into broader structures.\u003c\/p\u003e\n\u003cp\u003eThose seeking an introductory textbook for first exposure to special functions or a heavily computational manual with worked exercises should look elsewhere; this work emphasizes conceptual placement and references rather than abundant elementary examples or problem sets.\u003c\/p\u003e\n\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n \u003cli\u003eConsolidates scattered formulas into a coherent narrative linking special functions and zeta-functions.\u003c\/li\u003e\n \u003cli\u003eProvides clear treatment of several zeta-functions, expanding the reader's analytic toolkit.\u003c\/li\u003e\n \u003cli\u003eUses Fourier series effectively to illuminate the role of periodic Bernoulli polynomials.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n \u003cli\u003eNot intended as an introductory textbook, so beginners may need more elementary background elsewhere.\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n \u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eVistas of Special Functions\u003c\/td\u003e\n\u003c\/tr\u003e\n \u003ctr\u003e\n\u003ctd\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eShigeru Kanemitsu, Haruo Tsukada\u003c\/td\u003e\n\u003c\/tr\u003e\n \u003ctr\u003e\n\u003ctd\u003ePrimary topics\u003c\/td\u003e\n\u003ctd\u003eBernoulli polynomials, gamma function, zeta-functions, Bessel functions\u003c\/td\u003e\n\u003c\/tr\u003e\n \u003ctr\u003e\n\u003ctd\u003eAnalytic tools included\u003c\/td\u003e\n\u003ctd\u003eFourier analysis, finite Fourier series, summation formulas\u003c\/td\u003e\n\u003c\/tr\u003e\n \u003ctr\u003e\n\u003ctd\u003eNumber theory content\u003c\/td\u003e\n\u003ctd\u003eHurwitz, Lerch, Epstein zeta-functions and Dirichlet L-functions\u003c\/td\u003e\n\u003c\/tr\u003e\n \u003ctr\u003e\n\u003ctd\u003eIntended audience\u003c\/td\u003e\n\u003ctd\u003eAdvanced undergraduates, graduate students, researchers\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eVistas of Special Functions is a compact, thoughtful resource for readers who want to understand how special functions are organized via zeta-functions; it represents good value for graduate students and researchers who need conceptual clarity and curated formulas rather than elementary instruction.\u003c\/p\u003e\n\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eDoes this book require complex analysis background?\u003c\/strong\u003e\u003cbr\u003eYes. Familiarity with basic complex function theory is helpful because the text discusses zeta-functions and analytic techniques rather than introductory calculus.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eAre explicit examples and exercises included?\u003c\/strong\u003e\u003cbr\u003eThe book emphasizes formulas, relationships and theory; it is not primarily an exercise-driven textbook, so readers looking for many worked problems may need supplementary materials.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWhich zeta-functions are covered?\u003c\/strong\u003e\u003cbr\u003eThe coverage includes the Hurwitz, Lerch and Epstein zeta-functions and treats Dirichlet L-functions where relevant to special function identities.\u003c\/p\u003e","brand":"Shigeru Kanemitsu, Haruo Tsukada","offers":[{"title":"Default Title","offer_id":48244714406107,"sku":"B007JV758I","price":93.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/71pcVUIi4iL._SL1500.jpg?v=1771066491","url":"https:\/\/gearmusthave.com\/products\/vistas-of-special-functions-study-zeta-function-connections","provider":"GearMustHave","version":"1.0","type":"link"}