Charles Fox (mathematician)
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Charles Fox (mathematician)
Charles Fox (17 March 1897, in London – 30 April 1977, in Montreal) was the English mathematician who introduced the Fox–Wright function and the Fox H-function. In 1976, he received an honorary doctorate from Concordia University. References * * External links *http://www.materialtexts.bbk.ac.uk/?p=343Charles Foxat the MacTutor History of Mathematics archive The MacTutor History of Mathematics archive is a website maintained by John J. O'Connor and Edmund F. Robertson and hosted by the University of St Andrews in Scotland. It contains detailed biographies on many historical and contemporary mathemati ... Canadian mathematicians 1977 deaths 1897 births {{Canada-academic-bio-stub ...
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Montreal
Montreal ( ; officially Montréal, ) is the List of the largest municipalities in Canada by population, second-most populous city in Canada and List of towns in Quebec, most populous city in the Provinces and territories of Canada, Canadian province of Quebec. Founded in 1642 as ''Fort Ville-Marie, Ville-Marie'', or "City of Mary", it is named after Mount Royal, the triple-peaked hill around which the early city of Ville-Marie is built. The city is centred on the Island of Montreal, which obtained its name from the same origin as the city, and a few much smaller peripheral islands, the largest of which is Île Bizard. The city is east of the national capital Ottawa, and southwest of the provincial capital, Quebec City. As of 2021, the city had a population of 1,762,949, and a Census Metropolitan Area#Census metropolitan areas, metropolitan population of 4,291,732, making it the List of the largest municipalities in Canada by population, second-largest city, and List of cen ...
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Fox–Wright Function
In mathematics, the Fox–Wright function (also known as Fox–Wright Psi function, not to be confused with Wright Omega function) is a generalisation of the generalised hypergeometric function ''p''''F''''q''(''z'') based on ideas of and : _p\Psi_q \left begin ( a_1 , A_1 ) & ( a_2 , A_2 ) & \ldots & ( a_p , A_p ) \\ ( b_1 , B_1 ) & ( b_2 , B_2 ) & \ldots & ( b_q , B_q ) \end ; z \right= \sum_^\infty \frac \, \frac . Upon changing the normalisation _p\Psi^*_q \left begin ( a_1 , A_1 ) & ( a_2 , A_2 ) & \ldots & ( a_p , A_p ) \\ ( b_1 , B_1 ) & ( b_2 , B_2 ) & \ldots & ( b_q , B_q ) \end ; z \right= \frac \sum_^\infty \frac \, \frac it becomes ''p''''F''''q''(''z'') for ''A''1...''p'' = B1...''q'' = 1. The Fox–Wright function is a special case of the Fox H-function : _p\Psi_q \left begin ( a_1 , A_1 ) & ( a_2 , A_2 ) & \ldots & ( a_p , A_p ) \\ ( b_1 , B_1 ) & ( b_2 , B_2 ) & \ldots & ( b_q , B_q ) \end ; z \right= H^_ \left \begin ( 1-a_1 , A_1 ) & ( 1-a_2 , A_2 ) & ...
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Fox H-function
In mathematics, the Fox H-function ''H''(''x'') is a generalization of the Meijer G-function and the Fox–Wright function introduced by . It is defined by a Mellin–Barnes integral : H_^ \!\left \begin ( a_1 , A_1 ) & ( a_2 , A_2 ) & \ldots & ( a_p , A_p ) \\ ( b_1 , B_1 ) & ( b_2 , B_2 ) & \ldots & ( b_q , B_q ) \end \right. \right= \frac\int_L \frac z^ \, ds, where ''L'' is a certain contour separating the poles of the two factors in the numerator. Compare to the Meijer G-function: : G_^ \!\left( \left. \begin a_1, \dots, a_p \\ b_1, \dots, b_q \end \; \ \, z \right) = \frac \int_L \frac \,z^s \,ds. The special case for which the Fox H reduces to the Meijer G is ''A''''j'' = ''B''''k'' = ''C'', ''C'' > 0 for ''j'' = 1...''p'' and ''k'' = 1...''q'' : : H_^ \!\left \begin ( a_1 , C ) & ( a_2 , C ) & \ldots & ( a_p , C ) \\ ( b_1 , C ) & ( b_2 , C ) & \ldots & ( b_q , C ) \end \right. \right= \frac G_^ \!\left( \left. \begin a_1, \dots, a_p \\ b_1, \dots, b_q \end ...
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Concordia University
Concordia University ( French: ''Université Concordia'') is a public research university located in Montreal, Quebec, Canada. Founded in 1974 following the merger of Loyola College and Sir George Williams University, Concordia is one of the three universities in Quebec where English is the primary language of instruction (the others being McGill and Bishop's). As of the 2020–21 academic year, there were 51,253 students enrolled in credit courses at Concordia, making the university among the largest in Canada by enrollment. The university has two campuses, set approximately apart: Sir George Williams Campus is the main campus, located in the Quartier Concordia neighbourhood of Downtown Montreal in the borough of Ville Marie; and Loyola Campus in the residential district of Notre-Dame-de-Grâce. With four faculties, a school of graduate studies and numerous colleges, centres and institutes, Concordia offers over 400 undergraduate and 200 graduate programs and courses. Conc ...
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MacTutor History Of Mathematics Archive
The MacTutor History of Mathematics archive is a website maintained by John J. O'Connor and Edmund F. Robertson and hosted by the University of St Andrews in Scotland. It contains detailed biographies on many historical and contemporary mathematicians, as well as information on famous curves and various topics in the history of mathematics. The History of Mathematics archive was an outgrowth of Mathematical MacTutor system, a HyperCard database by the same authors, which won them the European Academic Software award in 1994. In the same year, they founded their web site. it has biographies on over 2800 mathematicians and scientists. In 2015, O'Connor and Robertson won the Hirst Prize of the London Mathematical Society for their work... The citation for the Hirst Prize calls the archive "the most widely used and influential web-based resource in history of mathematics". See also * Mathematics Genealogy Project * MathWorld * PlanetMath PlanetMath is a free, collaborative, m ...
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Canadian Mathematicians
Canadians (french: Canadiens) are people identified with the country of Canada. This connection may be residential, legal, historical or cultural. For most Canadians, many (or all) of these connections exist and are collectively the source of their being ''Canadian''. Canada is a multilingual and multicultural society home to people of groups of many different ethnic, religious, and national origins, with the majority of the population made up of Old World immigrants and their descendants. Following the initial period of French and then the much larger British colonization, different waves (or peaks) of immigration and settlement of non-indigenous peoples took place over the course of nearly two centuries and continue today. Elements of Indigenous, French, British, and more recent immigrant customs, languages, and religions have combined to form the culture of Canada, and thus a Canadian identity. Canada has also been strongly influenced by its linguistic, geographic, and e ...
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1977 Deaths
Events January * January 8 – Three bombs explode in Moscow within 37 minutes, killing seven. The bombings are attributed to an Armenian separatist group. * January 10 – Mount Nyiragongo erupts in eastern Zaire (now the Democratic Republic of the Congo). * January 17 ** 49 marines from the and are killed as a result of a collision in Barcelona harbour, Spain. * January 18 ** Scientists identify a previously unknown bacterium as the cause of the mysterious Legionnaires' disease. ** Australia's worst railway disaster at Granville, a suburb of Sydney, leaves 83 people dead. ** SFR Yugoslavia Prime minister Džemal Bijedić, his wife and 6 others are killed in a plane crash in Bosnia and Herzegovina. * January 19 – An Ejército del Aire CASA C-207C Azor (registration T.7-15) plane crashes into the side of a mountain near Chiva, on approach to Valencia Airport in Spain, killing all 11 people on board. * January 20 – Jimmy Carter is sworn in as the 39th Preside ...
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