GEGENBAUER POLYNOMIALS REVISITED A. F. HORADAM University of New England‚ Armidale‚ Australia (Submitted June 1983) 1. INTRODUCTION The Gegenbauer (or ultraspherical) polynomials Cn(x) (A > -%‚ \x\ < 1) are defined by c\(x) = 1‚ c\(x) = 2Xx (1.1) with the recurrence relation nC„{x) = 2x(X + n - 1 ) < ^ - I O 0 - (2X + n - 2)CnA_2(^) (w > 2) . (1.2) Gegenbauer polynomials are related to Tn(x)‚ the Chebyshev polynomials of the first kind‚ and to Un(x)
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Lisa Harlow Guimaraes English 101 January 17‚ 2015 Greek Goddesses Jesmyn Wards novel‚ Savage the Bones‚ takes place in Bios Savage‚ in rural Mississippi. The novel consists of twelve days each day being a chapter‚ all leading up to the massive destruction of hurricane Katrina. The main characters include Junior‚ age seven; Esch‚ fifteen; Skeetah‚ sixteen; and Randall‚ seventeen. Their Mama died seven years ago when Junior was born. Daddy is around but has a problem with alcohol. They have a pit
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Our Savage Neighbors: How Indian War Transformed Early America. Author: Peter Silver. Publisher: W. W. Norton & Company New York (2008) Peter Silver‚ author of Our Savage Neighbors‚ is an associate professor of history at Rutgers University. The first chapter‚ An Unsettled Country‚ pretty well tells his purpose in writing the book. He shows “how fear and horror…can remake whole societies and their political landscapes”. (xviii) His focus is on the middle colonies‚ particularly Pennsylvania‚
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Looking for Love Throughout the novel Brideshead Revisited‚ by Evelyn Waugh‚ the theme of searching for love becomes clearly apparent through almost all of the characters’ actions. The search for love is of the utmost importance‚ whether the characters realize it or not. This is particularly the case for Charles‚ Julia‚ and Cordelia. As the narrator of the novel‚ the reader gains the most insight into Charles’ search. He is cautiously optimistic that love will be found‚ possibly even in his everyday
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Bob Marley My “saintly person” is Bob Marley. His full name was Robert “Bob” Nesta Marley. He was actually named Nesta Robert Marley when he was born but a Jamaican Passport official accidently mixed up his names. He was born on February 6‚1945 in the village of Nine Mile in Saint Ann Parish‚ Jamaica. In 1977 he was diagnosed with having a type of skin cancer under one of toe nails. He refused to have his toe amputated. He died on May 11‚ 1981 after the cancer had spread to his lungs and brain
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Bob Marley once said‚ "I’m a man of God and me come to do God’s work.” Bob Marley brought reggae to a broad audience and devoted his work to spread a message of peace‚ unity and love. Bob Marley made an attempt to make blacks recognized. He became an important figure for the Afro-race. In the song “Buffalo Soldier” the author calls its audience to see that there have been sacrifices of black men in America. Bob Marley began to work in the song in 1978‚ after reading about the black American soldiers
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Frances Feldman was one of the most respected and influential social workers of her time. Between practicing Social work to becoming a Social work professor‚ Feldman studied the Social and Psychological meanings of work and money in American life. While studying at USC‚ Feldman ran a laundry service to pay her tuition and received a bachelor’s degree in 1935. And then went on to earn a master’s degree in Social work from the university in 1940. Dr. Frances Feldman’s professional career began in
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According to a reenactment of this tragedy‚ “Savage Christmas” – The Valour and the Horror‚ the Canadians only arrived in Hong Kong a few weeks before the invasion. In such a short period of time‚ how are they supposed to get used to even the geography of Hong Kong‚ let alone not even knowing Hong
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Civil Disobedience Julia Nadeane Savage 12.11.12 AP English Language Ms. Walker 5B As long as there is structured society‚ there will always be conformity. Failure to comply to this conformity could mean nothing more than getting a funny look‚ but sometimes it has more drastic consequences. There is a certain mob mentality that contributes to the concept of morals. In the past‚ people have said black people shouldn’t be able to go to school. Before that‚ it was understood by most that
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Who is Bob Johnston? To fully appreciate the creative genius of legendary record producer Bob Johnston‚ read what musician Bob Dylan wrote in his autobiography‚ Chronicles‚ Volume One: “Bob Johnston had fire in his eyes. He had that thing that some people call ‘momentum.’ You could see it in his face and he shared that fire‚ that spirit. Columbia’s leading folk and country producer‚ he was born one hundred years too late. He should have been wearing a wide cape‚ a plumed hate‚ and riding with
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