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http://tcpa.uni-sofia.bg/research/ Some Novel Properties and Applications of Heun’s Functions to Physical Problems The Goal: To Open the Padlocks of Nature! Plamen Fiziev Department of Theoretical Physics University of Sofia Informal seminar Department of Functions and Functional Analysis Moscow State University February 22, 2010

Page 2 and 3: The Heun family of equations has be
Page 4 and 5: ArXiv: 0903.010 1 Albert Einstein I
Page 6 and 7: New important results for more real
Page 8 and 9: 62,185 quazars --------------------
Page 10 and 11: arXiv:0902.351 [astro-ph.HE] arXiv:
Page 12 and 13: 2009
Page 14 and 15: astro-ph/0711.11163 Abbott et all,
Page 16 and 17: The Central Engine Problem -- the p
Page 18 and 19: Natural GR scales for relativistic
Page 20 and 21: Nature 435, 652-654 (2 June 2005) A
Page 22 and 23: Jets from Neutron Star Crab Nebula
Page 24: A jet of gas firing out of a very y
Page 27 and 28: Some typical AGN The Jet in Centaur
Page 29 and 30: Other observed jets:
Page 31 and 32: Limit => =>
Page 33 and 34: More detail about the three-term re
Page 35 and 36: Some Exactly Soluble in terms of He
Page 37 and 38: Since the geodesic equations are so
Page 39 and 40: Perturbations of the BH interior Ma
Page 41 and 42: Kerr (1963) Metric (a = J/M) Event
Page 43 and 44: The differential invariants: CAN LO
Page 45 and 46: For the nontrivial factors R and S
Page 47 and 48: 16 Exact Local Solutions of TAE:PPF
Page 49 and 50: Novel relations for confluent Heun
Page 51 and 52: Universal form of the Teukolsky-Sta
Page 53 and 54:
New effective method for calculatio
Page 55 and 56:
Sumple examples of polynomial solut
Page 57 and 58:
!!! Bounded one-way-runing waves wi
Page 59 and 60:
Example QNM of Kerr BH: => regular
Page 61 and 62:
Examples of Relativistic Jets 2
Page 63 and 64:
The Jet from M87 M87 Jet Time Evolu
Page 65 and 66:
PPF, gr-qc/0902.1277, 0980.4234.

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